Free Printable Pre-GED Program End Test III

1.

[ (6 ÷ 2) x 6 + 4 x 7]

a)

141

b)

49

c)

46

d)

344

2.

What is the order of the steps for the following expression?
50- 16 x 2 ÷ (12-4)

a)

parentheses
multiplication
subtraction
division

b)

parentheses
multiplication
division
subtraction

c)

parentheses
division
multiplication
subtraction

d)

parentheses
subtraction
multiplication
division

3.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

4.

Simplify the following:
-2 ⋅ (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

5.

5 x (7-2) + (8+1)

a)

70

b)

77

c)

42

d)

34

6.

Which expression is evaluated first?
(18 - 14)² - 6 x 10

a)

18 - 14

b)

4²

c)

6 x 10

d)

16 - 6

7.

Evaluate:
(7² + 51) ÷ (4 x 25)

a)

1

b)

0

c)

100

d)

2

8.

Simplify

a)

232

b)

278

c)

332

d)

488

9.

a)

156

b)

67

c)

78

d)

128

10.

$8^{-3}$

a)

$\frac{1}{12}$

b)

$\frac{1}{64}$

c)

$\frac{1}{8}$

d)

$\frac{1}{512}$

11.

$6^2\ -92\div4$

What is the order of operations for solving this problem?

a)

Subtract, Divide, Exponent

b)

Exponent, Subtract, Divide

c)

Exponent, Divide, Subtract

12.

Pick the correct order for Order of Operations

a)

Parentheses, Multiplication, Division, Addition, Exponents, Subtraction

b)

Exponents, Multiplication, Division, Addition, Parentheses, Subtraction

c)

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

13.

Identify the constant of the algebraic expression:

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

14.

What are the coefficients in the expression
8a + b + 9?

a)

8 only

b)

1 and 8

c)

8 and 9

d)

1, 8, and 9

15.

5p + 4h - 2
Which are the variables?

a)

5p, 4h, 2

b)

2

c)

p, h

d)

5, 4

16.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

17.

Evaluate if if w = 6

a)

14

b)

13

c)

10

d)

26

18.

Which expression represents $s$ students split evenly into 5 groups?

a)

$\frac{s}{5}$

b)

$5s$

c)

$s+5$

d)

$s-5$

19.

Which phrase describes this expression?

6y + 4

a)

6 times the sum of y and 4

b)

The product of 6 and 4 times y

c)

4 more than the sum of 6 and y

d)

The product of 6 and y plus 4

20.

Which of the following expressions contains the coefficients 4 and -6?

a)

4n - 6n + 4

b)

4n + 6n - 4

c)

-4n - 6n

d)

-4n + 6n

21.

Which answer choice is NOT an example of a constant?

a)

-5g

b)

0.5

c)

1.58

d)

-1/2

22.

Evaluate $\frac{q}{3}+4$ at $q\ =18$ .

(a)

23.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

24.

What is the term classification of the following polynomial?
x³-7x²+3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

25.

How many terms does this expression have:
-27a³ + 9a² - 45a

a)

what are terms?

b)

0 terms

c)

-45 terms

d)

3 terms

26.

Find the sum.
(3 - 2x + 2x²) + (4x - 5 + 3x²)

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

27.

Add to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

28.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

29.

Simplify the expression
-6x - 5(10x + 3)

a)

-56x - 15

b)

-56x+15

c)

44x+15

d)

-44x-15

30.

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

a)

4b⁴ - 2b³ + 7

b)

5b⁴ - 2b³ + 4

c)

b⁴ - 2b³ + 7

d)

5b⁴ - 2b³ + 7

31.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

32.

(2x + 3)(x² + 4x + 1)

a)

2x³ + 10x² + 14x + 4

b)

2x³ + 11x² + 14x + 3

c)

-2x³ - 11x² + 14x + 5

d)

x³ - 11x² + 14x + 3

33.

If a rectangular field has a length of $x+7$ and a width of $4x-2$ , write an expression for the length of fencing to go around the outer edges.

a)

$5x+5$

b)

$10x+10$

c)

Why do we need fences?

d)

$4x^2-14$

34.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

35.

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

36.

$56m^3n^4\div\left(-7m^2n^3\right)$

a)

$8mn$

b)

$-8mn$

c)

$-8m^2m^2$

d)

$8m^2n^2$

37.

What is the value of $\left(9m^3n^4\ -\ 12m^3n^2\right)\div\ \left(-3m^3n\right)$ ?

a)

$3n^3-4n$

b)

$3n^2+4n$

c)

$-3n^3+4n$

d)

$-3n^3-4n$

38.

Divide

$\frac{10x^8y^5}{4x^2y^5}$

a)

$6x^6y$

b)

$\frac{5x^6}{2}$

c)

$\frac{5x^6y}{2}$

d)

$6x^6$

39.

Divide

$\frac{15x^9-40x^6}{5x^3}$

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

40.

Divide

$\frac{-12a^{4\ }+\ 6a^3}{6a^3}$

a)

$2a$

b)

$-2a+1$

c)

$2a\ +1$

d)

$-2a\ +\ 1a$

41.

Divide

$\frac{8x^8-8x^2-28x}{4x}$

a)

2x⁸- 8x²- 28x

b)

2x⁸- 2x²- 7x

c)

8x⁷- 8x - 28x

d)

2x⁷- 2x - 7

42.

Divide

$\frac{18y^{6\ }+9y^{4\ }-12y^2}{3y^2}$

a)

$6y^2\ +3y^2\ -4y^2$

b)

$15y^{4\ }+6y^2\ -\ 9$

c)

$6y^{4\ }+3y^2-4$

d)

$6y^{3\ }-3y^2\ +4y$

43.

Divide

$\frac{8x^2-4x+12}{2x}$

a)

4x + 2

b)

4x - 2

c)

$4x\ -\ 2\ +\ \frac{6}{x}$

d)

$4x\ -2\ +\frac{12}{x}$

44.

Mitch has 35 more bouncy balls than Rudy. Rudy has b bouncy balls. Choose the expression that shows how many bouncy balls Mitch has.

a)

35 - b

b)

b

c)

35

d)

b + 35

45.

Your mom wins $100 on a scratch-off ticket. She wants to split it between you and your sisters. How much will each of you receive if there are c children?

a)

100 - c

b)

100 + c

c)

100 ÷ c

d)

100c

46.

Create an expression to represent the following word problem.

The difference of h and 9 divided by 3.

a)

h - 9/3

b)

(h - 9)/3

c)

(9 - h)/3

d)

9 - h/3

47.

Create an expression to represent the following word problem.

Six divided by the product of -7 and b.

a)

6/b - 7

b)

6/-7b

c)

-7b/6

d)

b - 7/6

48.

Create an expression to represent the following word problem.

Three times the sum of e and 2

a)

3e + 2

b)

2e + 3

c)

3(e + 2)

d)

3(e - 2)

49.

A cell phone company charges $40 per month plus a $35 activation fee. What is the expression for the total cost for m months?

a)

40 - 35m

b)

40m - 35

c)

40m + 35

d)

40 + 35

50.

Translate this phrase into an algebraic expression:

Triple a number increased by 16

a)

3(16) + n

b)

16n + 3

c)

3n + 16

d)

2n - 16

Pre-GED Program End Test III

Total questions: 50

Worksheet time: 55mins

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