Question 1

Write the word or phrase that best completes each statement or answers the question.
-$$2 [ 3.5 ( 2.5 - 3 x ) - x ( 5 + 0.5 x ) ] + 7.5 x ^ { 2 }$$

Accepted Answer

The answer of Write the word or phrase that best...

Question 2

Solve the problem.
-The width of a rectangle is $2 \mathrm { ft }$ less than 4 times the length. Write a model for the width $W$ in terms of the length $L$.
A) $W = 2 L + 4$
B) $W = 4 L - 2$
C) $W = 4 L + 2$
D) $W = 2 L - 4$

Accepted Answer

The width $W$ is described as "4 times the length" minus "2 feet", which translates mathematically to $W = 4L - 2$.

Question 3

Write the word or phrase that best completes each statement or answers the question.
-$$- 2 x ( 4 - 3 x ) + 16 x ^ { 2 } - 7 x$$

Accepted Answer

The answer of Write the word or phrase that best...

Question 4

Write the word or phrase that best completes each statement or answers the question.
-$$4 ( 4 s - 4 ) - 1 ( 8 t - 2 u )$$
A) $16 s - 4 - 8 t - 2 u$
B) $16 s - 16 - 8 t - 2 u$
C) $16 s - 4 - 8 t + 2 u$
D) $16 s - 16 - 8 t + 2 u$

Accepted Answer

The answer of Write the word or phrase that best...

Question 5

Write the word or phrase that best completes each statement or answers the question.
-$$- ( - 4 s + 9 t + 7 )$$
A) $- 4 s - 9 t - 7$
B) $4 s + 9 t + 7$
C) $4 s - 9 t - 7$
D) $4 s - 9 t + 7$

Accepted Answer

The answer of Write the word or phrase that best...

Question 6

Evaluate the expression for the given values of the variables.
-$\frac { - q } { 4 t }$ for $q = - 3 , t = 2$
A) $- \frac { 3 } { 8 }$
B) $\frac { 3 } { 8 }$
C) $- \frac { 1 } { 8 }$
D) $- \frac { 3 } { 2 }$

Accepted Answer

Substituting $q = -3$ and $t = 2$ into the expression $\frac{-q}{4t}$ gives $\frac{-(-3)}{4(2)} = \frac{3}{8}$.

Question 7

Apply the commutative property of multiplication.
-$w \cdot \frac { 5 } { 6 }$
A) $\frac { 5 } { 6 } w$
B) $\frac { 6 } { 5 } w$
C) $w \cdot \frac { 6 } { 5 }$
D) $- \frac { 5 } { 6 } w$

Accepted Answer

The commutative property of multiplication states that changing the order of the factors does not change the product. Therefore, $w \cdot \frac { 5 } { 6 } = \frac { 5 } { 6 } w$.

Question 8

Solve the problem.
-A tool rental store charges a flat fee of $9.00 to rent a chain saw, and $4.00 for each day, including the first. If you need to rent the saw and absolutely refuse to spend more than $49.00, what's the
Maximum number of days you can keep the saw?
A) 10 days
B) 7 days
C) 5 days
D) 14 days

Accepted Answer

The total cost of renting the saw is $9 (flat fee) + $4 per day. To spend no more than $49, we solve for the number of days: $49 = $9 + $4 * days. Subtracting $9 from both sides gives $40 = $4 * days. Dividing both sides by $4 gives 10 days as the maximum number of days you can keep the saw.

Question 9

Write the word or phrase that best completes each statement or answers the question.
Clear parentheses and combine like terms.
-$$3 ( 2 x - 5 ) + 14 x$$
A) $15 x$
B) $6 x - 15 + 14 x$
C) $20 x - 15$
D) $20 x - 5$

Accepted Answer

First, distribute the 3 across the terms inside the parentheses: $3 * 2x = 6x$ and $3 * -5 = -15$, giving $6x - 15 + 14x$. Combining like terms (6x and 14x) results in $20x - 15$.

Question 10

Solve the problem.
-A tool rental store charges a flat fee of $6.50 to rent a chain saw, and $3.75 for each day, including the first. Write an equation that expresses the cost y of renting this saw if it is rented for x days.
A) $y = 3.75 x + 6.50$
B) $y = 6.50 x + 3.75$
C) $y = 3.75 x - 6.50$
D) $y = 3.75 ( x + 6.50 )$

Accepted Answer

The cost y consists of a flat fee of $6.50 plus $3.75 per day for x days, which is represented by the equation $y = 3.75x + 6.50$.

Question 11

Solve the problem.
-A new diet program guarantees you will lose 1.6 lb per week. A male with a starting weight of 220 lb is modeled by $$W = 220 - 1.6 t$$ where t is the number of weeks after starting the diet.
Use the model to determine the male's weight after 19 weeks. 
A) 208.6 lb
B) 170.6 lb
C) 189.6 lb
D) 218.4 lb

Accepted Answer

The answer of Solve the problem.
-A new diet program guarantees...

Question 12

Evaluate the expression.
-$( - 11 ) ^ { 2 }$
A) $- 22$
B) $- 121$
C) 121
D) $- 9$

Accepted Answer

When you square a negative number, the result is positive. $(-11)^2 = 121$.

Question 13

Write an absolute value expression to represent the distance between the two points on the number line
and simplify.
-$- 3$ and 2
A) $| - 3 - 2 | ; - 1$
B) $| - 3 - 2 | ; - 5$
C) $| - 3 + 2 | ; 1$
D) $| - 3 - 2 | ; 5$

Accepted Answer

The distance between two points on a number line is the absolute value of the difference between the two numbers. The expression is $| - 3 - 2 |$, which simplifies to $| - 5 |$, resulting in 5.

Question 14

Apply the associative property of multiplication.
-$- \frac { 5 } { 11 } \left( - \frac { 11 } { 5 } p \right)$
A) $p$
B) $- 55 p$
C) $6 p$
D) $- 5 p$

Accepted Answer

The associative property of multiplication allows us to change the grouping of the factors without changing the product. Here, multiplying $-\frac{5}{11}$ by $-\frac{11}{5}$ gives 1, and multiplying that by $p$ gives $p$.

Question 15

Solve the problem.
-A tool rental store charges a flat fee of $\$ 8.50$ to rent a chain saw, and $\$ 4.00$ for each day, including the first. Use a linear equation to find the cost of renting the saw for one week.
A) $\$ 36.50$
B) $\$ 32.50$
C) \$28.00
D) $\$ 12.50$

Accepted Answer

The cost of renting the saw for one week (7 days) can be calculated using the linear equation $C = 8.50 + 4.00d$, where $C$ is the total cost and $d$ is the number of days. Substituting $d = 7$, we get $C = 8.50 + 4.00(7) = 8.50 + 28.00 = 36.50$.

Question 16

Write the word or phrase that best completes each statement or answers the question.
Clear parentheses and combine like terms.
-$$- 11 z ^ { 3 } - 8 z ^ { 3 } - z ^ { 3 }$$

Accepted Answer

The answer of Write the word or phrase that best...

Question 17

Evaluate the root without using a calculator or note that root is not a real number.
-$\sqrt [ 3 ] { - 125 }$
A) 5
B) 6
C) $- 5$
D) Not a real number

Accepted Answer

The cube root of -125 is -5, because $(-5)^3 = -125$.

Question 18

Evaluate the expression for the given values of the variables.
-Under selected conditions, a sports car gets 14 mpg in city driving and 19 mpg for highway driving. The mode $$\mathrm { G } = \frac { 1 } { 14 } c + \frac { 1 } { 19 } h$$ represents the amount of gasoline used (in gal) for c miles driven in the
City and h miles driven on the highway. Determine the amount of gas required to drive 98 mi in the
City and 399 mi on the highway.
A) 37 gal
B) 34 gal
C) 33 gal
D) 28 gal

Accepted Answer

The answer of Evaluate the expression for the given values...

Question 19

Evaluate the root without using a calculator or note that root is not a real number.
-$\sqrt [ 3 ] { 64 }$
A) 5
B) 4
C) $- 4$
D) Not a real number

Accepted Answer

The cube root of 64 is 4, because $4^3 = 4 \times 4 \times 4 = 64$.

Question 20

Apply the associative property of addition.
-$$( r + 3 ) + 7$$
A) $r + 7$
B) $r + 3$
C) $r + 10$
D) $r + 4$

Accepted Answer

The associative property of addition allows you to change the grouping of the numbers being added without changing the sum. Here, $(r + 3) + 7 = r + (3 + 7) = r + 10$.

Quiz 9: Review of Prerequisites

Write the word or phrase that best completes each statement or answers the question. - $2 [ 3.5 ( 2.5 - 3 x ) - x ( 5 + 0.5 x ) ] + 7.5 x ^ { 2 }$

Solve the problem. -The width of a rectangle is $2 \mathrm { ft }$ less than 4 times the length. Write a model for the width $W$ in terms of the length $L$ .

Write the word or phrase that best completes each statement or answers the question. - $- 2 x ( 4 - 3 x ) + 16 x ^ { 2 } - 7 x$

Write the word or phrase that best completes each statement or answers the question. - $4 ( 4 s - 4 ) - 1 ( 8 t - 2 u )$

Write the word or phrase that best completes each statement or answers the question. - $- ( - 4 s + 9 t + 7 )$

Evaluate the expression for the given values of the variables. - $\frac { - q } { 4 t }$ for $q = - 3 , t = 2$

Apply the commutative property of multiplication. - $w \cdot \frac { 5 } { 6 }$

Solve the problem. -A tool rental store charges a flat fee of $9.00 to rent a chain saw, and $4.00 for each day, including the first. If you need to rent the saw and absolutely refuse to spend more than $49.00, what's the Maximum number of days you can keep the saw?

Write the word or phrase that best completes each statement or answers the question. Clear parentheses and combine like terms. - $3 ( 2 x - 5 ) + 14 x$

Solve the problem. -A tool rental store charges a flat fee of $6.50 to rent a chain saw, and $3.75 for each day, including the first. Write an equation that expresses the cost y of renting this saw if it is rented for x days.

Solve the problem. -A new diet program guarantees you will lose 1.6 lb per week. A male with a starting weight of 220 lb is modeled by $W = 220 - 1.6 t$ where t is the number of weeks after starting the diet. Use the model to determine the male's weight after 19 weeks.

Evaluate the expression. - $( - 11 ) ^ { 2 }$

Write an absolute value expression to represent the distance between the two points on the number line and simplify. - $- 3$ and 2

Apply the associative property of multiplication. - $- \frac { 5 } { 11 } \left( - \frac { 11 } { 5 } p \right)$

Solve the problem. -A tool rental store charges a flat fee of $\$ 8.50$ to rent a chain saw, and $\$ 4.00$ for each day, including the first. Use a linear equation to find the cost of renting the saw for one week.

Write the word or phrase that best completes each statement or answers the question. Clear parentheses and combine like terms. - $- 11 z ^ { 3 } - 8 z ^ { 3 } - z ^ { 3 }$

Evaluate the root without using a calculator or note that root is not a real number. - $\sqrt [ 3 ] { - 125 }$

Evaluate the root without using a calculator or note that root is not a real number. - $\sqrt [ 3 ] { 64 }$

Apply the associative property of addition. - $( r + 3 ) + 7$

Quiz 9: Review of Prerequisites

Write the word or phrase that best completes each statement or answers the question. - 2[3.5(2.5−3x)−x(5+0.5x)]+7.5x22 [ 3.5 ( 2.5 - 3 x ) - x ( 5 + 0.5 x ) ] + 7.5 x ^ { 2 }2[3.5(2.5−3x)−x(5+0.5x)]+7.5x2

Solve the problem. -The width of a rectangle is 2ft2 \mathrm { ft }2ft less than 4 times the length. Write a model for the width WWW in terms of the length LLL .

Write the word or phrase that best completes each statement or answers the question. - −2x(4−3x)+16x2−7x- 2 x ( 4 - 3 x ) + 16 x ^ { 2 } - 7 x−2x(4−3x)+16x2−7x

Write the word or phrase that best completes each statement or answers the question. - 4(4s−4) −1(8t−2u) 4 ( 4 s - 4 ) - 1 ( 8 t - 2 u ) 4(4s−4) −1(8t−2u)

Write the word or phrase that best completes each statement or answers the question. - −(−4s+9t+7) - ( - 4 s + 9 t + 7 ) −(−4s+9t+7)

Evaluate the expression for the given values of the variables. - −q4t\frac { - q } { 4 t }4t−q​ for q=−3,t=2q = - 3 , t = 2q=−3,t=2

Apply the commutative property of multiplication. - w⋅56w \cdot \frac { 5 } { 6 }w⋅65​

Solve the problem. -A tool rental store charges a flat fee of $9.00 to rent a chain saw, and $4.00 for each day, including the first. If you need to rent the saw and absolutely refuse to spend more than $49.00, what's the Maximum number of days you can keep the saw?

Write the word or phrase that best completes each statement or answers the question. Clear parentheses and combine like terms. - 3(2x−5) +14x3 ( 2 x - 5 ) + 14 x3(2x−5) +14x

Solve the problem. -A tool rental store charges a flat fee of $6.50 to rent a chain saw, and $3.75 for each day, including the first. Write an equation that expresses the cost y of renting this saw if it is rented for x days.

Solve the problem. -A new diet program guarantees you will lose 1.6 lb per week. A male with a starting weight of 220 lb is modeled by W=220−1.6tW = 220 - 1.6 tW=220−1.6t where t is the number of weeks after starting the diet. Use the model to determine the male's weight after 19 weeks.

Evaluate the expression. - (−11) 2( - 11 ) ^ { 2 }(−11) 2

Write an absolute value expression to represent the distance between the two points on the number line and simplify. - −3- 3−3 and 2

Apply the associative property of multiplication. - −511(−115p) - \frac { 5 } { 11 } \left( - \frac { 11 } { 5 } p \right) −115​(−511​p)

Solve the problem. -A tool rental store charges a flat fee of $8.50\$ 8.50$8.50 to rent a chain saw, and $4.00\$ 4.00$4.00 for each day, including the first. Use a linear equation to find the cost of renting the saw for one week.

Write the word or phrase that best completes each statement or answers the question. Clear parentheses and combine like terms. - −11z3−8z3−z3- 11 z ^ { 3 } - 8 z ^ { 3 } - z ^ { 3 }−11z3−8z3−z3

Evaluate the root without using a calculator or note that root is not a real number. - −1253\sqrt [ 3 ] { - 125 }3−125​

Evaluate the root without using a calculator or note that root is not a real number. - 643\sqrt [ 3 ] { 64 }364​

Apply the associative property of addition. - (r+3) +7( r + 3 ) + 7(r+3) +7

Write the word or phrase that best completes each statement or answers the question. - $2 [ 3.5 ( 2.5 - 3 x ) - x ( 5 + 0.5 x ) ] + 7.5 x ^ { 2 }$

Solve the problem. -The width of a rectangle is $2 \mathrm { ft }$ less than 4 times the length. Write a model for the width $W$ in terms of the length $L$ .

Write the word or phrase that best completes each statement or answers the question. - $- 2 x ( 4 - 3 x ) + 16 x ^ { 2 } - 7 x$

Write the word or phrase that best completes each statement or answers the question. - $4 ( 4 s - 4 ) - 1 ( 8 t - 2 u )$

Write the word or phrase that best completes each statement or answers the question. - $- ( - 4 s + 9 t + 7 )$

Evaluate the expression for the given values of the variables. - $\frac { - q } { 4 t }$ for $q = - 3 , t = 2$

Apply the commutative property of multiplication. - $w \cdot \frac { 5 } { 6 }$

Write the word or phrase that best completes each statement or answers the question. Clear parentheses and combine like terms. - $3 ( 2 x - 5 ) + 14 x$

Solve the problem. -A new diet program guarantees you will lose 1.6 lb per week. A male with a starting weight of 220 lb is modeled by $W = 220 - 1.6 t$ where t is the number of weeks after starting the diet. Use the model to determine the male's weight after 19 weeks.

Evaluate the expression. - $( - 11 ) ^ { 2 }$

Write an absolute value expression to represent the distance between the two points on the number line and simplify. - $- 3$ and 2

Apply the associative property of multiplication. - $- \frac { 5 } { 11 } \left( - \frac { 11 } { 5 } p \right)$

Solve the problem. -A tool rental store charges a flat fee of $\$ 8.50$ to rent a chain saw, and $\$ 4.00$ for each day, including the first. Use a linear equation to find the cost of renting the saw for one week.

Write the word or phrase that best completes each statement or answers the question. Clear parentheses and combine like terms. - $- 11 z ^ { 3 } - 8 z ^ { 3 } - z ^ { 3 }$

Evaluate the root without using a calculator or note that root is not a real number. - $\sqrt [ 3 ] { - 125 }$

Evaluate the root without using a calculator or note that root is not a real number. - $\sqrt [ 3 ] { 64 }$

Apply the associative property of addition. - $( r + 3 ) + 7$