Deck 1: Introduction to Real Numbers and Algebraic Expressions

Question 1

Translate the phrase to an algebraic expression.
x increased by six

A)6
B)x + 6
C)6x
D)x - 6

Answer 1

B

Question 2

Evaluate.
$\frac { 6 m } { n }$ , when $\mathrm { m } = 12$ and $\mathrm { n } = 3$

A) 24
B) 48
C) 6
D) 4

Answer 2

A

Question 3

Substitute to find the value of the expression.
Mary earns three times as much per week as Maureen. If x represents the amount that Maureen earns per week, then 3 x represents the amount that Mary earns per week. How much does Mary earn per week if Maureen earns $\$ 380$ per week?

A) $\$ 126.67$
B) $\$ 383$
C) $\$ 377$
D) $\$ 1140$

Answer 3

D

Question 4

Translate the phrase to an algebraic expression.
Six times $x$

A) $\frac { 6 } { x }$
B) $6 x$
C) $6 - x$
D) $6 + x$

Question 5

Translate the phrase to an algebraic expression.
Four multiplied by x A) $4 x$
B) $4 - x$
C) $4 + x$
D) $\frac { 4 } { x }$

Question 6

Evaluate.
$\frac { x + y } { 10 }$ , when $x = 13$ and $y = 47$

A) 7
B) 5
C) 4
D) 6

Question 7

Translate the phrase to an algebraic expression.
x subtracted from y A) $\frac { y } { x }$
B) $\frac { x } { y }$
C) $x - y$
D) $y - x$

Question 8

Evaluate.
$5 x$ , when $x = 4$

A) 9
B) 23
C) 20
D) 90

Question 9

Substitute to find the value of the expression.
The area of a rectangle of length land width $w$ is given by the formula $\mathrm { A } =$ l $\mathrm { N }$ . Ann's backyard is rectangular with a length of $37.0$ yards and a width of $25.8$ yards. Find the area of Ann's backyard.

A) $954.60 \mathrm { yd }$
B) $954.60 \mathrm { yd } ^ { 2 }$
C) $62.8 \mathrm { yd } ^ { 2 }$
D) $62.8 \mathrm { yd }$

Question 10

Substitute to find the value of the expression.
In one store, bananas cost 60 cents per pound. The cost, in dollars, of $x$ pounds of bananas is $0.6 x$ . What is the cost of $2.0$ pounds of bananas?

A) $\$ 0.33$
B) $\$ 1.20$
C) $\$ 3.33$
D) $\$ 1.40$

Question 11

Substitute to find the value of the expression.
The area of a triangle with base $b$ and height $h$ is given by the formula $A = \frac { 1 } { 2 } b h$ . Find the area of a triangle when the base is $3.4$ centimeters and the height is $5.5$ centimeters.

A) $18.7 \mathrm {~cm} ^ { 2 }$
B) $9.35 \mathrm {~cm} ^ { 2 }$
C) $0.31 \mathrm {~cm} ^ { 2 }$
D) $7.48 \mathrm {~cm} ^ { 2 }$

Question 12

Translate the phrase to an algebraic expression.
Three less than x A) $x - 3$
B) $3 - x$
C) $3 x$
D) $\frac { 3 } { x }$

Question 13

Evaluate.
$\frac { 9 x + 2 y } { 4 }$ , when $x = 12$ and $y = 20$

A) 32
B) 148
C) 37
D) 29

Question 14

Substitute to find the value of the expression.
A plane flies at 649 miles per hour. The time, in hours, for the plane to travel a distance of $\mathrm { d }$ miles is $\frac { \mathrm { d } } { 649 }$ . How long will it take for the plane to travel 3245 miles?

A) $5 \mathrm { hr }$
B) $0.20 \mathrm { hr }$
C) $8 \mathrm { hr }$
D) $2,106,005 \mathrm { hr }$

Question 15

Evaluate.
$x + y$ , when $x = 6$ and $y = 2$

A) $- 8$
B) 8
C) 12
D) 4

Question 16

Substitute to find the value of the expression.
Bill takes four times as long to do a job as Jose. Suppose $t$ represents the time it takes Bill to do the job. Then $t / 4$ represents the time it takes Jose. How long does it take Jose if it takes Bill 90 minutes?

A) $94.00 \mathrm {~min}$
B) $22.50 \mathrm {~min}$
C) $360.00 \mathrm {~min}$
D) $86.00 \mathrm {~min}$

Question 17

Substitute to find the value of the expression.
A train must cover a distance of 2140 miles. The velocity, in miles per hour, of the train is $\frac { 2140 } { t }$ where $t$ is the time, in hours, to complete the trip. If the train completes the trip in 20 hours, what is its velocity?

A) $102 \mathrm { mph }$
B) $0.01 \mathrm { mph }$
C) $107 \mathrm { mph }$
D) $42,800 \mathrm { mph }$

Question 18

Evaluate.
$\frac { p } { q }$ , when $p = 14$ and $q = 2$

A) 6
B) 7
C) 8
D) $7 \frac { 1 } { 2 }$

Question 19

Translate the phrase to an algebraic expression.
Four more than x A) $x + 4$
B) $\frac { 4 } { x }$
C) $4 - x$
D) $4 \mathrm { x }$

Question 20

Substitute to find the value of the expression.
Traveling at $r$ kilometers per hour for thours, a driver will travel rt kilometers. How far will Danny travel in 10 hours at a speed of 79 kilometers per hour?

A) $7.9 \mathrm {~km}$
B) $790 \mathrm { mi }$
C) $790 \mathrm {~km}$
D) $89 \mathrm {~km}$

Question 21

State the real number that corresponds to the situation.
Sales at Andrea's Formal Wear Shop were $5688 less this week than the sales last week. A) 5688
B) $- 5688$

Question 22

State the real number that corresponds to the situation.
On a cloudy day, the water temperature in the swimming pool drops 10 degrees. A) $- 10$
B) 10

Question 23

State the real number that corresponds to the situation.
In one state, the highest point is 4950 feet above sea level. A) $- 4950$
B) 4950

Question 24

Graph the numbers on a number line.
$$- 4 \frac { 2 } { 3 } , - 2,0,2 \frac { 2 } { 3 }$$

A)

B)

C)

D)

Question 25

Translate to an algebraic expression.
Robbie drove his car at 65 mph for x hours. How many miles did he travel? A) $65 x$
B) $\frac { x } { 65 }$
C) $65 - x$
D) $\frac { 65 } { x }$

Question 26

State the real number that corresponds to the situation.
This year corn production decreased 55,000 pounds from last year on Steve's farm. A) 55,000
B) $- 55,000$

Question 27

State the real number that corresponds to the situation.
The stock market gained 40 points on Monday. A) $- 40$
B) 40

Question 28

Translate to an algebraic expression.
Monica had $\$ 23$ before spending y dollars for a snack. How much money remains?

A) $\$ 23 - y$
B) $\$ 23 y$
C) $y - \$ 23$
D) $\$ 23 + y$

Question 29

Graph the numbers on a number line.
$$- 8 , - 6 , - 4 , - 2$$

A)

B)

C)

D)

Question 30

Translate to an algebraic expression.
Alex had y dollars before spending $\$ 35.50$ for a book. How much did he have after the purchase?

A) $\$ 35.50 \mathrm { y }$
B) $\$ 35.50 + y$
C) $\$ 35.50 - y$
D) $y - \$ 35.50$

Question 31

Translate the phrase to an algebraic expression.
The quotient of x divided by eight A) $8 + x$
B) $8 - x$
C) $\frac { x } { 8 }$
D) $8 \mathrm { x }$

Question 32

Translate to an algebraic expression.
Leanne had $33 remaining after paying y dollars for a dinner and a movie. How much did she have at the start of the evening? A) $\$ 33 - y$
B) $\$ 33 y$
C) $y - \$ 33$
D) $\$ 33 + y$

Question 33

State the real number that corresponds to the situation.
One country exported $70,800,000 less than it imported, giving it a negative trade balance. A) $- 70,800,000$
B) $70,800,000$

Question 34

Translate the phrase to an algebraic expression.
Twice x A) $3 x$
B) $3 + x$
C) $2 x$
D) $2 + x$

Question 35

State the real number that corresponds to the situation.
Mr. Voss decreased his speed by 6 miles per hour. A) 6
B) $- 6$

Question 36

Graph the numbers on a number line.
$- 3 , - 1,1,3$

A)

B)

C)

D)

Question 37

State the real number that corresponds to the situation.
During one year, 31 employees started work at Newline Manufacturing Company. A) 31
B) $- 31$

Question 38

State the real number that corresponds to the situation.
A football team gained 17 yards on one play. A) 17
В) $- 17$

Question 39

Translate the phrase to an algebraic expression.
The sum of x and y A) $2 x y$
B) $\frac { x } { y }$
C) $x y$
D) $x + y$

Question 40

Translate the phrase to an algebraic expression.
Seven divided by x A) $\frac { 7 } { x }$
B) $7 + x$
C) $7 x$
D) $7 - x$

Question 41

$\text { Insert } < \text { or } > \text { to write a true statement. }$

- $5.5$ _ $1.4$

A) $5.5 > 1.4$
B) $5.5 < 1.4$

Question 42

$\text { Insert } < \text { or } > \text { to write a true statement. }$

-1_ $- 0.333$

A) $1 > - 0.333$
B) $1 < - 0.333$

Question 43

Convert to decimal notation.
$- \frac { 1 } { 8 }$

A) $- 0 . \overline { 125 }$
B) $- 0.12 \overline { 5 }$
C) $- 0.125$
D) $0.125$

Question 44

$\text { Insert } < \text { or } > \text { to write a true statement. }$

--62_39

A) $\text { }-62<39$

B) $- 62 > 39$

Question 45

Convert to decimal notation.
$- \frac { 7 } { 40 }$

A) $- 0.17 \overline { 5 }$
B) $- 0.175$
C) $- 0.1 \overline { 75 }$
D) $- 0.18$

Question 46

Convert to decimal notation.
$\frac { 5 } { 9 }$

A) $1 . \overline { 6 }$
B) $5 . \overline { 5 }$
C) $0.6$
D) $0 . \overline { 5 }$

Question 47

Convert to decimal notation.
$\frac { 11 } { 16 }$

A) $0.6875$
B) $0.411$
C) $2.0625$
D) $1.375$

Question 48

$$\text { Insert } < \text { or } > \text { to write a true statement. }$$
$0 ـــــــــ\quad - 10$

A) $0 < - 10$
B) $0 > - 10$

Question 49

$\text { Insert } < \text { or } > \text { to write a true statement. }$

- $3$ _0

A) $3 < 0$
B) $3 > 0$

Question 50

Graph the numbers on a number line.
$$- 5.75 , - 3 , - 1,1.25$$

A)

B)

C)

D)

Question 51

$\text { Insert } < \text { or } > \text { to write a true statement. }$

-- 2 _ 0

A) $\text { }-2>0$

B) $\text { }-2<0$

Question 52

$\text { Insert } < \text { or } > \text { to write a true statement. }$

-3_2

A) $3 < 2$
B) $3 > 2$

Question 53

Convert to decimal notation.
$\frac { 4 } { 15 }$

A) $0.2 \overline { 6 }$
B) $0 . \overline { 2 }$
C) $3.7 \overline { 5 }$
D) $0.3$

Question 54

Convert to decimal notation.
$\frac { 5 } { 6 }$

A) $0 . \overline { 833 }$
B) $0.8$
C) $0.8 \overline { 3 }$
D) $0 . \overline { 83 }$

Question 55

Convert to decimal notation.
$- \frac { 1 } { 3 }$

A) $- 3$
B) $0.33333333$
C) $- 0 . \overline { 3 }$
D) $0 . \overline { 3 }$

Question 56

Convert to decimal notation.
$\frac { 17 } { 4 }$

A) $- 4.25$
B) $4.25$
C) $8.5$
D) $12.75$

Question 57

Convert to decimal notation.
$- \frac { 13 } { 10 }$

A) $- 0.13$
B) $- 1.3$
C) $- 1 . \overline { 3 }$
D) $- 2.6$

Question 58

$\text { Insert } < \text { or } > \text { to write a true statement. }$

-- 20_61

A) $-20<-61$
B) $- 20 > - 61$

Question 59

Convert to decimal notation.
$- \frac { 7 } { 4 }$

A) $- 0.175$
B) $- 0.875$
C) $- 0 . \overline { 175 }$
D) $- 1.75$

Question 60

Convert to decimal notation.
$$\frac { 13 } { 99 }$$

A) $0.13$
В) $0 . \overline { 131 }$
C) $0 . \overline { 13 }$
D) $0.1 \overline { 3 }$

Question 61

Find the absolute value.
$| - 0.003 |$

A) $0.006$
В) $- 0.003$
C) $0.003$
D) 0

Question 62

Determine whether the statement is true or false.
$$- 25 > - 5$$

Question 63

$\text { Insert } < \text { or } > \text { to write a true statement. }$

- $- \frac { 1 } { 2 }$ _1

A) $- \frac { 1 } { 2 } > 1$
B) $- \frac { 1 } { 2 } < 1$

Question 64

Find the absolute value.
$$| 17 |$$

A)34
B)-17
C)0
D)17

Question 65

Determine whether the statement is true or false.
$$7 \leq 16$$

Question 66

Find the absolute value.
$| 5.202 |$

A) $5.202$
B) $10.404$
C) $- 5.202$
D) 0

Question 67

$\text { Insert } < \text { or } > \text { to write a true statement. }$

- $- \frac { 7 } { 4 } _ - \frac { 3 } { 4 }$

A) $- \frac { 7 } { 4 } > - \frac { 3 } { 4 }$
B) $- \frac { 7 } { 4 } < - \frac { 3 } { 4 }$

Question 68

Write an inequality with the same meaning.
$$y > 21$$

A) $y < 21$
B) $\mathrm { y } \geq 21$
C) $21 < y$
D) $21 > y$

Question 69

Write an inequality with the same meaning.
$23 < 28$

A) $28 \geq 23$
B) $28 < 23$
C) $28 > 23$
D) $23 > 28$

Question 70

Find the absolute value.
$\left| - \frac { 5 } { 6 } \right|$

A) 0
B) $\frac { 5 } { 6 }$
C) $\frac { 5 } { 3 }$
D) $- \frac { 5 } { 6 }$

Question 71

Determine whether the statement is true or false.
$$- 20 \leq - 19$$

Question 72

Write an inequality with the same meaning.
$$32 \geq 30$$

A) $32 > 30$
B) $30 \geq 32$
C) $32 \leq 30$
D) $30 \leq 32$

Question 73

$\text { Insert } < \text { or } > \text { to write a true statement. }$

-9.06_- 9.09

A) $9.06 < - 9.09$
B) $9.06 > - 9.09$

Question 74

$\text { Insert } < \text { or } > \text { to write a true statement. }$

- $\frac { 14 } { 22 } - \frac { 2 } { 3 }$

A) $\frac { 14 } { 22 } < \frac { 2 } { 3 }$
B) $\frac { 14 } { 22 } > \frac { 2 } { 3 }$

Question 75

Find the absolute value.
$$| - 9 |$$

A)18
B)-9
C)0
D)9

Question 76

Find the absolute value.
$$| - 5.8 |$$

A)5.8
B)-5.8
C)0
D)11.6

Question 77

Determine whether the statement is true or false.
$$12 < 6$$

Question 78

Write an inequality with the same meaning.
$- 17 \leq x$

A) $- 17 \geq x$
B) $x \geq - 17$
C) $x \leq - 17$
D) $x > - 17$

Question 79

Determine whether the statement is true or false.
$$11 > 9$$

Question 80

Find the absolute value.
$$| 230 |$$

A)-230
B)460
C)0
D)230