Question 1

Juanita arranged for a car loan of $11,200. If her monthly payments are $560, how many months will it take her to pay off the loan?
A)80 months
B)20 months
C)70 months
D)200 months

Accepted Answer

To find out how many months it will take Juanita to pay off the loan, divide the total loan amount by the monthly payment amount: $11,200 / $560 = 20 months.

Question 2

Write the expression in exponent form
-(7)(7)(7)
A)37
B)73
C)71
D)3 ·7

Accepted Answer

The expression (7)(7)(7) represents 7 multiplied by itself 3 times, which is written in exponent form as $7^3$.

Question 3

Write the expression in exponent form
-(19)(19)(19)(19)
A)194
B)191
C)419
D)4 ·19

Accepted Answer

The expression represents 19 multiplied by itself 4 times, which is written in exponent form as $19^4$.

Question 4

The table below summarizes the plays that a football team made while in possession of the football during their last game. $$\begin{array} { l | c | c } 
\text { Type of Play } & \text { Number of Plays } & \text { Average Yards Gained or Lost per Play } \
\hline \text { Large gain } & 4 & + 25 \
\text { Medium gain } & 7 & + 15 \
\text { Small gain } & 6 & + 5 \
\text { Zero gain } & 10 & 0 \
\text { Small loss } & 9 & - 5 \
\text { Medium loss } & 5 & - 10 \
\text { Large loss } & 1 & - 15
\end{array}$$ If the total yards gained in small gains were combined with the total yards lost in small losses, what would be the result?
A)A loss of 3 yards
B)A gain of 75 yards
C)A loss of 15 yards
D)A gain of 15 yards

Accepted Answer

The answer of The table below summarizes the plays that...

Question 5

Evaluate.
-$- 3 ^ { 2 }$
A) $- 6$
B) 6
C) 9
D) $- 9$

Accepted Answer

The expression $- 3 ^ { 2 }$ means that the negative sign is outside the exponentiation, so it's equivalent to $-(3^2)$. Since $3^2 = 9$, the expression evaluates to $-9$.

Question 6

Evaluate.
-$( - 7 ) ^ { 3 }$
A) 21
B) $- 21$
C) 343
D) $- 343$

Accepted Answer

When you raise a negative number to an odd power, the result is negative. $(-7)^3 = -7 \times -7 \times -7 = -343$.

Question 7

Solve the problem.
-Christina made a chart summarizing her shop's financial performance over the past three years. $$\begin{array} { l | c | c } 
\begin{array} { l } 
\text { Description } \
\text { of Month }
\end{array} & \begin{array} { l } 
\text { Number } \
\text { of Months }
\end{array} & \begin{array} { l } 
\text { Average Monthly } \
\text { Income or Loss } \
\text { (in hundreds of dollars) }
\end{array} \
\hline \text { Excellent } & 6 & + \$ 18 \
\text { Good } & 9 & + \$ 5 \
\text { Neutral } & 15 & \$ 0 \
\text { Poor } & 4 & - \$ 1 \
\text { Very poor } & 2 & - \$ 4
\end{array}$$ How much money was lost in the months described as "Poor"?
A)$4500
B)$10,800
C)$800
D)$400

Accepted Answer

The months described as "Poor" had an average monthly loss of $100 (since the values are in hundreds of dollars). With 4 months of "Poor" performance, the total loss is $4 \times 100 = \$400$.

Question 8

Evaluate.
-$5 ^ { 2 }$
A) $- 25$
B) $- 10$
C) 10
D) 25

Accepted Answer

$5^2$ means 5 multiplied by itself, which equals 25.

Question 9

Write the expression in exponent form
-(7)(7)(7)(7)(7)
A)57
B)7· 5
C)75
D)77

Accepted Answer

The expression (7)(7)(7)(7)(7) represents 7 multiplied by itself 5 times, which is written in exponent form as $7^5$.

Question 10

Write the expression in exponent form
-(4)(4)(2)(2)(2)(2) 
A) $\left( 2 ^ { 4 } \right) \left( 4 ^ { 2 } \right)$
B) $\left( 4 ^ { 2 } \right) \left( 2 ^ { 4 } \right)$
C) $8 ^ { 6 }$
D) $( 4 ) \left( 2 ^ { 6 } \right)$

Accepted Answer

The expression can be grouped as $4^2$ (since there are two 4's) and $2^4$ (since there are four 2's), making the correct expression $\left( 4 ^ { 2 } \right) \left( 2 ^ { 4 } \right)$.

Question 11

Sally will pay $10,560 on her student loan over the next 4 years. If $220 is automatically deducted from her bank account each month to pay off the loan, how much does she still owe after one year?
A)$7920
B)$13,200
C)$2640
D)$8360

Accepted Answer

Sally pays $220 each month for 12 months in one year, which totals $220 * 12 = $2640. Subtracting this from the initial amount, $10,560 - $2640 = $7920, shows how much she still owes.

Question 12

Write the expression in exponent form
-(5)(5)
A)25
B)2 ·5
C)52
D)53

Accepted Answer

The expression (5)(5) can be written in exponent form as 5^2, which means 5 multiplied by itself once (5 * 5).

Question 13

Evaluate.
-$( - 6 ) ^ { 2 }$
A) 36
B) 12
C) $- 36$

Accepted Answer

When you square a negative number, the result is positive. $(-6)^2 = 36$.

Question 14

Write the expression in exponent form
-(x)(x)(x)(x) 
A) 4
B) $4 ^ { x }$
C) $x ^ { 4 }$
D) $4 \mathrm { x }$

Accepted Answer

The expression $x \cdot x \cdot x \cdot x$ represents $x$ multiplied by itself 4 times, which is written in exponent form as $x^4$.

Question 15

Write the expression in exponent form
-(4)(4)(4)(4)(4)(4)
A)46
B)64
C)45
D)24

Accepted Answer

The expression represents 4 multiplied by itself 6 times, which is written in exponent form as $4^6$.

Question 16

Write the expression in exponent form. A) 12y⁵ B) (12y)⁵ C) 60y⁵ D) 5y¹²

Accepted Answer

The expression (12y)⁵ represents the entire term 12y being raised to the power of 5, which is the correct exponent form.

Question 17

Solve the problem.
-Your favorite stock opened the day's trading at $43.21 per share. When trading closed for the day, your stock was priced at $35.50 per share. If you own 120 shares, what was your profit or loss that day?
A)A loss of $7.71
B)A loss of $925.20
C)A profit of $925.20
D)A profit of $7.71

Accepted Answer

The loss per share is $43.21 - $35.50 = $7.71. For 120 shares, the total loss is $7.71 * 120 = $925.20.

Question 18

-2(x)(x)(x)(x) 
A) $( - 2 x ) ^ { 4 }$
B) $- 2 \left( 4 ^ { x } \right)$
C) $- 2 x ^ { 4 }$
D) $- ( 2 x ) ^ { 4 }$

Accepted Answer

The expression $-2(x)(x)(x)(x)$ simplifies to $-2x^4$, which matches choice C. This is because the four $x$ terms are multiplied together, resulting in $x^4$, and the $-2$ is a coefficient, not part of the base of an exponentiation.

Question 19

Solve the problem.
-Christina made a chart summarizing her shop's financial performance over the past three years. $$\begin{array} { l | c | c } 
\begin{array} { l } 
\text { Description } \
\text { of Month }
\end{array} & \begin{array} { l } 
\text { Number } \
\text { of Months }
\end{array} & \begin{array} { l } 
\text { Average Monthly } \
\text { Income or Loss } \
\text { (in hundreds of dollars) }
\end{array} \
\hline \text { Excellent } & 6 & + \$ 16 \
\text { Good } & 9 & + \$ 6 \
\text { Neutral } & 15 & \$ 0 \
\text { Poor } & 4 & - \$ 3 \
\text { Very poor } & 2 & - \$ 5
\end{array}$$ How much money was made in the months described as "Good"?
A)$5400
B)$1000
C)$1200
D)$9600

Accepted Answer

For the months described as "Good," there were 9 months with an average monthly income of $600 (since the income is given in hundreds of dollars). Therefore, the total income for these months is $9 \times 600 = \$5400$.

Question 20

Adam owes $5400 in student loans. If he agrees to consolidate the loans and repay the total amount over 60 months, what would his monthly payment be?
A)$90
B)$540
C)$600
D)$450

Accepted Answer

The answer of Adam owes $5400 in student loans. If...

Quiz 1: Real Numbers and Variables

Juanita arranged for a car loan of $11,200. If her monthly payments are $560, how many months will it take her to pay off the loan?

Write the expression in exponent form -(7) (7) (7)

Write the expression in exponent form -(19) (19) (19) (19)

Evaluate. - $- 3 ^ { 2 }$

Evaluate. - $( - 7 ) ^ { 3 }$

Evaluate. - $5 ^ { 2 }$

Write the expression in exponent form -(7) (7) (7) (7) (7)

Write the expression in exponent form -(4) (4) (2) (2) (2) (2)

Sally will pay $10,560 on her student loan over the next 4 years. If $220 is automatically deducted from her bank account each month to pay off the loan, how much does she still owe after one year?

Write the expression in exponent form -(5) (5)

Evaluate. - $( - 6 ) ^ { 2 }$

Write the expression in exponent form -(x) (x) (x) (x)

Write the expression in exponent form -(4) (4) (4) (4) (4) (4)

Write the expression in exponent form.

Solve the problem. -Your favorite stock opened the day's trading at $43.21 per share. When trading closed for the day, your stock was priced at $35.50 per share. If you own 120 shares, what was your profit or loss that day?

-2(x) (x) (x) (x)

Adam owes $5400 in student loans. If he agrees to consolidate the loans and repay the total amount over 60 months, what would his monthly payment be?