Deck 1: The Basics

Question 1

Use the rule for order of operations to simplify the expression as much as possible. $1+4(9-5)$

A) $31$
B) $32$
C) $20$
D) $17$
E) $40$

Answer 1

$17$

Question 2

Use the rule for order of operations to simplify the expression as much as possible. $12-4(3 \cdot 2-11)$

A) $37$
B) $32$
C) $59$
D) $216$
E) $40$

Answer 2

$32$

Question 3

Use the rule for order of operations to simplify the expression as much as possible. $(4+3)^{2}$

A) $49$
B) $25$
C) $17$
D) $14$ .
E) $14$

Answer 3

$49$

Question 4

Use the rule for order of operations to simplify the expression as much as possible. $2^{5}+6^{2} \div 2^{2}-3^{2}$

A) $32$
B) $7$
C) $26$
D) $1$
E) $55$

Question 5

Use the rule for order of operations to simplify the expression as much as possible. $8+4(2 \cdot 5-3)+4$

A) $28$
B) $40$
C) $121$
D) $36$
E) $49$

Question 6

Use the rule for order of operations to simplify the expression as much as possible. $6(1+5)$

A) $31$
B) $35$
C) $12$
D) $36$
E) $11$

Question 7

For the sentence below, write an equivalent expression in symbols. The product of $7$ and y is less than or equal to the sum of y and $6$ .

A) $7 y \leq y+6$
B) $7-y \geq y+1$
C) $7 y \leq 6 y$
D) $7 y \leq x+6$
E) $7 y \geq y+6$

Question 8

Use the rule for order of operations to simplify the expression as much as possible. $2 \cdot 9+8 \cdot 3$

A) $78$
B) $42$
C) $77$
D) $102$
E) $29$

Question 9

Use the rule for order of operations to simplify the expression as much as possible. $(9+3)(9-3)$

A) $27$
B) $90$
C) $105$
D) $72$
E) $33$

Question 10

Use the rule for order of operations to simplify the expression as much as possible. $3 \cdot 10^{2}+2 \cdot 10+6$

A) $326$
B) $86$
C) $3,066$
D) $9,026$
E) $926$

Question 11

For the sentence below, write an equivalent expression in symbols. The sum of x and $3$ is $15$ .

A) $x+15=3$
B) $x=18$
C) $x=3+15$
D) $3 x=15$
E) $x+3=15$

Question 12

Expand and multiply. $6^{2}$

A) $64$
B) $25$
C) $12$
D) $8$
E) $36$

Question 13

Find the next number in the sequence.
2, 2, 4, 6, 10, . . . (A Fibonacci-like sequence.)

A) 22
B) 15
C) 12
D) 53
E) none of these

Question 14

Find the next number in the sequence. $1,4,9,16,25,36$ (The sequence of squares.)

A) $40$
B) $98$
C) $61$
D) $64$
E) $49$

Question 15

For the sentence below, write an equivalent expression in symbols. The quotient of x and $9$ is equal to the sum of x and $8$ .

A) $\frac{x}{9}=x+8$
B) $\frac{X}{9}=\frac{X}{8}$
C) $9 x=x+8$
D) $\frac{x}{9}=8 x$
E) $\frac{x+8}{9}=\frac{x}{9}$

Question 16

In 1993 the government standardized the way in which nutrition information was presented on the labels of most packaged food products. The figure shows a standardized food label from a package of cookies that I ate at lunch the day I was writing the problems for this problem set. Use the information in the figure to answer the following question. If the calories category stands for calories per serving, how many calories did I consume by eating the whole package of cookies?

A) $1,050 \text { calories }$
B) $420 \text { calories }$
C) $390 \text { calories }$
D) $210 \text { calories }$
E) $391 \text { calories }$

Question 17

Expand and multiply. $3^{2}$

A) $8$
B) $6$
C) $5$
D) $9$
E) $4$

Question 18

The following bar chart gives the number of calories burned by a 150-pound person during 1 hour of various exercises. Use the bar char to determine the number of calories burned during 1 hour of skiing.

A) $272 \text { calories }$
B) $545 \text { calories }$
C) $267 \text { calories }$
D) $546 \text { calories }$
E) $\text { none of these }$

Question 19

Use the rule for order of operations to simplify the expression as much as possible. $6+5 \cdot 9$

A) $20$
B) $50$
C) $51$
D) $99$
E) $59$

Question 20

Use the rule for order of operations to simplify the expression as much as possible. $8+8 \div 2+6$

A) $14$
B) $18$
C) $24$
D) $22$
E) $2$

Question 21

Draw a number line that extends from - 5 to + 5. Label the point with the following coordinate. $-\frac{11}{8}$

A)
B)
C)
D)
E) none of these

Question 22

Use the rule for order of operations to simplify the expression as much as possible.

Question 23

Use the rule for order of operations to simplify the expression as much as possible.

Question 24

Write the following fraction as an equivalent fraction with denominator 14. $\frac{2}{7}$

A) $\frac{2}{14}$
B) $\frac{28}{14}$
C) $\frac{4}{14}$
D) $\frac{5}{14}$
E) $\frac{98}{14}$

Question 25

For the sentence below, write an equivalent expression in symbols.

The sum of x and 6 is 14.

Question 26

Expand and multiply.

Question 27

Find the next number in the sequence.

2, 2, 4, 6, 10, . . . (A Fibonacci-like sequence.)

Question 28

For the sentence below, write an equivalent expression in symbols.

The quotient of x and 2 is equal to the sum of x and 4.

Question 29

Use the rule for order of operations to simplify the expression as much as possible.

Question 30

Write the following fraction as an equivalent fraction with denominator 65. $\frac{5}{13}$

A) $\frac{25}{65}$
B) $\frac{5}{65}$
C) $\frac{57}{65}$
D) $\frac{10}{65}$
E) $\frac{50}{65}$

Question 31

Use the rule for order of operations to simplify the expression as much as possible.

Question 32

Use the rule for order of operations to simplify the expression as much as possible.

Question 33

Use the rule for order of operations to simplify the expression as much as possible.

Question 34

Use the rule for order of operations to simplify the expression as much as possible.

Question 35

Expand and multiply.

Question 36

Use the rule for order of operations to simplify the expression as much as possible.

Question 37

For the sentence below, write an equivalent expression in symbols.

The product of 3 and y is less than or equal to the sum of y and 5.

Question 38

Use the rule for order of operations to simplify the expression as much as possible.

Question 39

Use the rule for order of operations to simplify the expression as much as possible.

Question 40

Use the rule for order of operations to simplify the expression as much as possible.

Question 41

Give the reciprocal for the number 9.

A) $\frac{1}{90}$
B) $-\frac{1}{9}$
C) $\frac{1}{9}$
D) $-9$
E) $9$

Question 42

Find the perimeter and area of the figure. perimeter = __________ inch(es) area = __________ square inch(es)

Question 43

Give the absolute value for $-\frac{2}{3}$ .

A) $\frac{2}{3}$
B) $\frac{1}{6}$
C) $-\frac{2}{3}$
D) $6$
E) $\frac{3}{2}$

Question 44

Give the absolute value for the number c . (Assume the variable is nonzero.)

A) $\frac{1}{c}$
B) | c |
C) - c
D) | c ² |
E) c

Question 45

Work the following problem using the rule for addition of real numbers. $9+(-4)$

A) $-5$
B) $9$
C) $13$
D) $5$
E) $-13$

Question 46

Simplify the expression. $|5-2|$

A) $3$
B) $-7$
C) $-3$
D) $7$
E) $\text { none of these }$

Question 47

Write the following fraction as an equivalent fraction with denominator 36.

Question 48

Simplify the expression.

11 - | 5 - 2(5 - 3) |

Question 49

Simplify the expression.

| 6 - 5 |

Question 50

Multiply the following. $11 \cdot \frac{1}{11}$

A) $\frac{12}{11}$
B) $\frac{1}{22}$
C) $\frac{1}{121}$
D) $1$
E) $121$

Question 51

Expand and multiply. $\left(\frac{2}{3}\right)^{2}$

A) $\frac{2}{3}$
B) $\frac{16}{81}$
C) $\frac{8}{27}$
D) $\frac{4}{3}$
E) $\frac{4}{9}$

Question 52

Multiply the following. $\frac{1}{3} \cdot \frac{2}{5}$

A) $\frac{3}{8}$
B) $\frac{1}{4}$
C) $\frac{2}{15}$
D) $\frac{1}{5}$
E) $\frac{3}{5}$

Question 53

Write the following fraction as an equivalent fraction with denominator 95.

Question 54

Find the area of the figure.

A) 20 square inches
B) 8 square inches
C) 12 inches
D) 16 square inches
E) 8 inches

Question 55

Simplify the expression. $10-|9-2(4-2)|$

A) $9$
B) $-4$
C) $4$
D) $5$
E) $-5$

Question 56

Find the area of the figure.

A) 40 square centimeters
B) 40 centimeters
C) 81 square centimeters
D) 80 square centimeters
E) 6,400 square centimeters

Question 57

Find the perimeter and area of the figure. perimeter = __________ centimeters area = __________ square centimeters

Question 58

Multiply the following. $\frac{3}{5}$

A) $\frac{1}{17}$
B) $\frac{10}{7}$
C) $\frac{11}{7}$
D) $70$
E) $\frac{1}{70}$

Question 59

Multiply the following.

Question 60

Multiply the following.

Question 61

Work the following problem using the rule for addition of real numbers.

Question 62

Work the following problem using the rule for addition of real numbers.

Question 63

Work the following problem using the rule for addition of real numbers. $-26+9$

A) $-26$
B) $17$
C) $-35$
D) $-17$
E) $35$

Question 64

Work the following problem using the rule for addition of real numbers. $18+(-33)$

A) $-51$
B) $51$
C) $18$
D) $15$
E) $-15$

Question 65

The balance in your checkbook is -$29. If you make a deposit of $65, and then write a check for $16, what is the new balance?

A) $-\$ 52$
B) $\$ 52$
C) $\$ 20$
D) $-\$ 20$
E) $\$ 78$

Question 66

Work the problem using the rule for addition of real numbers. $-1+(-3)+[-6+(-2)]$

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

Question 67

Work the following problem using the rule for addition of real numbers.

Question 68

Simplify.

Question 69

Work the following problem using the rule for addition of real numbers. $[5+(-4)]+[6+(-1)]$

A) $-6$ .
B) $6$
C) $4$
D) $-6$
E) $-4$

Question 70

Work the following problem using the rule for addition of real numbers.

Question 71

Work the problem using the rule for addition of real numbers. $5+(-6)+(-9)$

A) $-10$
B) $-88$
C) $10$
D) $2$
E) $8$

Question 72

The temperature at noon is 10 degrees below Fahrenheit 0. By 1:00 it has risen 4 degrees. Write an expression using the numbers -10 and 4 to describe this situation.

A) $-10-4$
B) $-14+4$
C) $10+4$
D) $10-4$
E) $-10+4$

Question 73

Find the next two numbers in the sequence. $13,21,29,37, \ldots$

A) $45,53$
B) $43,51$
C) $40,48$
D) $37,45$
E) $44,52$

Question 74

Work the following problem using the rule for addition of real numbers. $-13+(-19)$

A) $-29$
B) $32$
C) $6$
D) $-6$
E) $-32$

Question 75

Work the following problem using the rule for addition of real numbers.

Question 76

Simplify. $-10+4(-5+9)+(-1)$

A) $-25$
B) $22$
C) $-5$
D) $5$
E) $-22$

Question 77

Work the following problem using the rule for addition of real numbers.

Question 78

Simplify.

Question 79

Work the following problem using the rule for addition of real numbers. $(-9+2)+[1+(-7)]+(-4)$

A) $1$
B) $-23$
C) $-17$
D) $21$
E) $17$

Question 80

The sequence below is an arithmetic sequence. Find the next two numbers in the sequence. $6,0,-6, \ldots$

A) $-8,-10$
B) $-12,-18$
C) $6,0$
D) $0,6$
E) $-12,-24$