Free Printable Algebra Basics Review

1.

7 + (-13)

a)

-6

b)

6

c)

-20

d)

20

2.

-4 - 16

a)

-20

b)

20

c)

-12

d)

12

3.

3 - 11

a)

-8

b)

8

c)

-14

d)

14

4.

-5 x 9

a)

-45

b)

45

c)

4

d)

yellow

5.

-32 / 8

a)

4

b)

-4

c)

256

d)

-256

6.

-56 / -7

a)

8

b)

-8

c)

392

d)

-392

7.

I 5 I

a)

5

b)

-5

8.

Find the Absolute Value of -18

a)

18

b)

-18

c)

36

d)

-36

9.

Evaluate the expression.
|–5| + 8

a)

3

b)

13

c)

-13

d)

-3

10.

Evaluate the expression.
|-2| + |-5|

a)

7

b)

-7

c)

3

d)

-3

11.

The absolute value of |3| is -3.

a)

True

b)

False

12.

Solve: (2×10)+4

a)

20

b)

26

c)

7

d)

24

13.

Solve: (3+12)-3²

a)

4

b)

6

c)

2

d)

7

14.

3²+4²-(4x2)

a)

14

b)

9

c)

9

d)

17

15.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

16.

Pick the correct sequence of steps for Order of Operations:

a)

Parentheses, Multiplication/Division, Addition/Subtraction, Brackets, Braces

b)

Multiplication/Division, Addition/Subtraction, Parentheses, Brackets, Braces

c)

Parentheses, Brackets, Braces, Multiplication/Division, Addition/Subtraction

d)

Parentheses, Braces, Brackets, Addition/Subtraction, Multiplication/Division

17.

What would be my first step? 3 + 4 x 6 - 4 =

a)

Addition

b)

Multiplication

c)

Subtraction

d)

Division

18.

(7 + 41) ÷ 2 – 15 =

a)

19

b)

9

c)

25

d)

3

19.

What is 4x if x=5?

a)

20

b)

16

c)

9

d)

45

20.

What is 3x+(5+y) if x=2 and y=7?

a)

18

b)

28

c)

8

d)

3

21.

What is 6+x when x=53?

a)

59

b)

50

c)

47

d)

90642

22.

What is 34x-u+16y when x=2 u=14 and y=3?

a)

102

b)

43

c)

2

d)

107

23.

Solve! (When x=8)

a)

0

b)

No possible solution

c)

-4

d)

8

24.

What is X+y+z+a-c when x=11 y=3 z=4 a=14 and c=10?

a)

22

b)

32

c)

2

d)

17

25.

a)

61

b)

54

c)

43

d)

32

26.

What is the value of the expression
x² + y² + x - y
when x = -1 and y = 3

a)

6

b)

8

c)

12

d)

16

27.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

28.

3(5 + 3x) - 4x

a)

-x + 8

b)

7x + 15

c)

5x + 15

d)

7x + 8

29.

5(y + 6) + 4

a)

5y + 15

b)

5y + 34

c)

5y + 10

d)

y + 34

30.

6(7 + x) + 5x

a)

6x + 13

b)

x + 42

c)

6x + 42

d)

11x + 42

31.

6x + 3(-2 - x) - 4

a)

9x - 10

b)

3x + 2

c)

3x - 10

d)

9x + 10

32.

-(x + 4)

a)

4 - x

b)

-x + 4

c)

x - 4

d)

-x - 4

33.

7a(3b - 2c + 4)

a)

10ab + 5ac + 11a

b)

10ab - 14ac + 11a

c)

21ab - 14ac + 28a

d)

21ab + 14ac + 28a

34.

-7(w-4)+3w - 27

a)

10w + 21

b)

-4w + 1

c)

3w + 5

d)

2w - 5

35.

The number before a variable is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

36.

A letter that represents a number is called a _____.

a)

variable

b)

coefficient

c)

constant

d)

term

37.

What do you call each part of an expression that is separated by a + or a -?

a)

coefficient

b)

constant

c)

variable

d)

term

38.

What is the coefficient in the expression: 94a+2?

a)

2

b)

4

c)

94

d)

94a

39.

What is the coefficient of x?
8 + 5x - y

a)

8

b)

1

c)

5

d)

-5

40.

What is the coefficient in this expression?
3x+4-2

a)

x

b)

4

c)

3x

d)

3

41.

In the expression 4x - 12, what is 4x?

a)

coefficient

b)

constant

c)

term

d)

variable

42.

How many terms are in the following expression?
7y + 3 - 7k -2

a)

2

b)

7

c)

4

d)

3

43.

Combine like terms to find the perimeter of the triangle. Write your final answer in simplest form.

a)

$15xy$

b)

$9x+6y$

c)

$xy+15$

d)

$9x$

44.

Combine like terms to find the perimeter of the triangle. Write your final answer in simplest form.

a)

$12x$

b)

$7$

c)

$5x+1$

d)

$5x+7$

45.

Combine like terms to find the perimeter of the triangle. Write your final answer in simplest form.

a)

$5x$

b)

$7x$

c)

$5x+x-1+x$

d)

$7x+1$

46.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

47.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

48.

m plus the product of 6 and n

a)

m + 6n

b)

m − 6 + n

c)

6m + n

d)

m + 6 + n

49.

4 less than x

a)

4 − x

b)

x − 4

c)

4x

d)

−4x

50.

"Subtracted from" and "less than" are terms that mean you need to "turn around" or "flip" the terms around.

a)

True

b)

False

51.

Translate the phrase into an algebraic expression

"57 more than 3 times Kate's score" Use the variable g to represent Kate's score.

a)

57g + 3

b)

3g + 57

c)

3g − 57

d)

57 + 3g

52.

Three less than twice a number

a)

2x − 3

b)

3x − 2

c)

3 − 2x

d)

2 − 3x

53.

A number squared increased by 1

a)

1 + √2

b)

x²+ 1

c)

x²− 1

d)

_{√2 + 1}

54.

x is less than or equal to 8

a)

$x<8$

b)

$x\le8$

c)

$x\ge8$

d)

$x>8$

55.

x is at most 10

a)

$x<10$

b)

$x\le10$

c)

$x\ge10$

d)

$x>10$

56.

x is at least 3

a)

$x<3$

b)

$x\le3$

c)

$x\ge3$

d)

$x>3$

57.

x is more than -4

a)

$x<-4$

b)

$x\le-4$

c)

$x\ge-4$

d)

$x>-4$

58.

Which symbol represents less than?

a)

$<$

b)

$>$

c)

$\le$

d)

$\ge$

59.

Which symbol represents greater than?

a)

$<$

b)

$>$

c)

$\le$

d)

$\ge$

60.

x is at most 10

a)

$x<10$

b)

$x\le10$

c)

$x\ge10$

d)

$x>10$

61.

x is at least 3

a)

$x<3$

b)

$x\le3$

c)

$x\ge3$

d)

$x>3$

62.

x is more than -4

a)

$x<-4$

b)

$x\le-4$

c)

$x\ge-4$

d)

$x>-4$

63.

Which represents the word sentence as an inequality?
A number w is smaller than 5.

a)

w < 5

b)

w > 5

c)

w ≤ 5

d)

w ≥ 5

64.

Which inequality represents the below statement. I can have no more than 10 pieces of candy.

a)

x ≥ 10

b)

x > 10

c)

x ≤ 10

d)

x < 10

65.

Translate verbally

m - 5 > 10

a)

5 more than m is less than 10

b)

10 is more than a number less than 5

c)

a number m decreased by 5 is greater than ten

d)

m is less than 5

66.

x is less than or equal to 8

a)

$x<8$

b)

$x\le8$

c)

$x\ge8$

d)

$x>8$

67.

Match the inequality to the sentence below.

14 is greater than t

a)

$14<t$

b)

$t\le14$

c)

$14\ge t$

d)

$t<14$

68.

Match the inequality to the sentence below.

The sum of 7 and x is less than or equal to -20

a)

$7x\le-20$

b)

$7-x\le-20$

c)

$7\ +\ x\le-20$

d)

$7\ +\ x\ =\ -20$

69.

Write an inequality for this situation:
You must be at least 18 years old to join the military.

a)

x > 18

b)

x < 18

c)

x ≥ 18

d)

x ≤ 18

70.

Translate the word phrase:
The speed limit is 45 miles per hour.

a)

x > 45

b)

x < 45

c)

x ≤ 45

d)

x ≥ 45

71.

Translate the word phrase:
You need to be 52 inches tall to ride Steal Venom.

a)

x > 52

b)

x < 52

c)

x ≤ 52

d)

x ≥ 52

Algebra Basics Review

Total questions: 71

Worksheet time: 2hrs 50mins

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