Free Printable Chapter 1 -Foundations of Algebra Review

1.

Translate:
2 less than x

a)

2 – x

b)

x – 2

c)

2x – 2

d)

x + 2

2.

Evaluate 3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

3.

Which algebraic expression represents

"six less than a number"?

a)

$\frac{6}{k}$

b)

$\frac{k}{6}$

c)

$6-k$

d)

$k-6$

4.

$-17-\left(-2\right)=$

a)

19

b)

-19

c)

15

d)

-15

5.

$15+\left(-21\right)=$

(a)

6.

$7\left(-4\right)=$

a)

3

b)

-3

c)

28

d)

-28

7.

$Simplify:\ -\frac{16}{2}$

(a)

8.

$-35\div\left(-7\right)$

a)

5

b)

-5

c)

-42

d)

42

9.

$-20+46=$

(a)

10.

$15-\left(-34\right)$

(a)

11.

$-42+17=$

a)

25

b)

-25

c)

59

d)

-59

12.

What operation in fractions do you need to find the reciprocal?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

13.

Do you need to find a common denominator to solve this?
6/7 ÷ 3/14

a)

Yes

b)

No

14.

⁴/₉ ÷ ¹/₂

a)

⁸/₉

b)

⁵/₁₁

c)

⁶/₁₀

d)

⁴/₁₈

15.

(-5)³

a)

-15

b)

125

c)

-125

d)

-625

16.

√100

a)

15

b)

10

c)

11

d)

12

17.

In between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

18.

A decimal that stops is which type of number? Example: 2.75

a)

Rational

b)

Irrational

c)

None of these

19.

Classify the number: 3

a)

natural, whole, integer, rational, real

b)

whole, integer, rational, real

c)

natural, whole, integer, irrational, real

d)

natural, whole, integer, rational

20.

-14 could NOT be which type of number?

a)

Integer

b)

Real

c)

Rational

d)

Natural

21.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

22.

Simplify:
[25-(13+4)+4] ÷ 3

a)

6

b)

2

c)

3

d)

4

23.

7[12 − (6 − 2) ÷ 4]

a)

7

b)

77

c)

14

d)

0

24.

2+3=3+2 is an example of ...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Inverse Property

25.

(3 + 2) + 4 = 3 + (2 + 4) is an example of which property?

a)

Commutative

b)

Associative

c)

Inverse

d)

Transitive

26.

5 x 0 = 0 is an example of which property?

a)

Associative

b)

Reflexive

c)

Zero Product

d)

Identity

27.

5 + 0 = 5 or 4 x 1 = 4 are examples of which property?

a)

Identity

b)

Zero Product

c)

Inverse

d)

Reflexive

28.

Which property is most like an ID card?

a)

Reflexive

b)

Distributive

c)

Inverse

d)

Identity

29.

Evaluate:

$\left(y+z\right)^2$

when y = -4 and z = -3

(a)

30.

Evaluate:

$xz\div5$

when x = 5 and z = 5

(a)

31.

Evaluate:

$4\left(cb+c\right)$

when b = 4 and c = 3

(a)

32.

Evaluate 5m + 7 if m = 5

a)

12

b)

25

c)

32

33.

Last week Julia ran 30 miles more than Pranav. Julia ran 47 miles. Which equation shows how many miles Pranav ran?

a)

x - 30 = 47

b)

x + 30 = 47

c)

30x = 47

d)

47x = 30

34.

Four fifths of a class of 480 shows up for class one day. Which equation can be used to solve for how many students attended?

a)

$\frac{4}{5}x\ =\ 480$

b)

$4x\ =\ 480$

c)

$\frac{5}{4}x\ =\ 480$

d)

$5x\ =\ 480$

35.

Jill sold half of her comic books and then bought sixteen more. She now has 36. Which equation shows how to solve the question: "With how many did she begin?"

a)

$\frac{x}{2}+36=16$

b)

$2x\ +\ 16=36$

c)

$2\left(x\ +\ 16\right)\ =\ 36$

d)

$\frac{x}{2\ }\ +\ 16\ =\ 36$

Chapter 1 -Foundations of Algebra Review

Total questions: 35

Worksheet time: 2hrs 47mins

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