Free Printable Math Reasoning 3 Final Semester 1

1.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

2.

Find the Value
1²

a)

2

b)

3

c)

-1

d)

1

3.

^{Write in standard form:}
5³

a)

25

b)

15

c)

125

d)

725

4.

^Solve:√36

a)

18

b)

3

c)

6

d)

12

5.

√100

a)

15

b)

10

c)

11

d)

12

6.

What is the √400

a)

40

b)

2.01

c)

2

d)

20

7.

a)

5/14

b)

3/7

c)

5/7

d)

3/14

8.

What do you need to have when adding unlike fractions?

a)

common denominator

b)

common numerator

c)

common numerator and denominator

9.

50/100 + 25/100 =

a)

100/75

b)

100/100

c)

75/100

d)

52/100

10.

Jennifer made a giant cookie to eat for lunch. She ate 2/5 of it and felt sick. She gave the rest of the giant cookie to Noelle. How much of the cookie did Noelle have?

a)

4/5

b)

1/5

c)

3/5

d)

5/5

11.

When solving an equation what do we look for first?

a)

Adding the inverse

b)

Check the solution

c)

Parentheses ( )

12.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

13.

8 = k/5

a)

3

b)

13

c)

40

d)

1.6

14.

-22 + x = -42

a)

64

b)

-64

c)

20

d)

-20

15.

What is 3/4 as a decimal?

a)

.75

b)

3.4

c)

.5

d)

7.5

16.

What is the equivalent fraction to 14%?

a)

14/001

b)

14/01

c)

14/10

d)

14/100

17.

What is the equivalent percent to 0.05?

a)

50%

b)

500%

c)

5%

d)

0.05%

18.

What is the divisor?

a)

The number you are dividing by

b)

The answer to a division question

c)

The number you are dividing

19.

simplify 15/20

a)

5/10

b)

3/4

c)

2/3

d)

1/5

20.

Simplify 6/42 to lowest terms.

a)

2/5

b)

7

c)

1/7

d)

3/21

21.

Multiply 2/6 x 3/5

a)

1/5

b)

1 / 1

c)

1 / 6

d)

0

22.

5/6 x 1/2 =

a)

5/6

b)

6/12

c)

5/12

d)

1/2

23.

What is 2/3 x 2/3

a)

4/5

b)

2/3

c)

4/9

d)

4/6

24.

Change this decimal to a percent.
0.528

a)

528%

b)

52.8%

c)

5.28%

d)

52%

25.

Use a number tree to find the prime factorization of 72

a)

2x2x2x3x3

b)

4x3x3x2

c)

4x2x2x2x2

26.

The bill for the repair of a computer was $175. The cost of parts was $44, and labor charge was $45 per hour. How many hours did it take to repair the computer?

What is the correct equation to solve?

a)

44h + 45 = 175

b)

44 + 45h = 175

c)

44 + 175 = 45h

d)

44 + 45 = 175h

27.

Rayshawn and Robert are both saving money for their summer vacations. They began saving at the same time. Rayshawn started with $10.25 and adds $5.15 to his savings every month. Robert did not have a starting amount but adds $10.25 to his savings every month. Which equation could be used to determine how many months, m, it will take before Rayshawn and Robert both have saved the same amount of money?

a)

5.15m + 10.25 = 10.25m

b)

10.25m + 5.15 = 10.25m

c)

10.25m + 10.25 = 5.15m

d)

10.25m – 5.15 = 10.25m

28.

Solve the equation:
7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

29.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

30.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

31.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

32.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

33.

Solve the following equation for x:
6x + 2 = 8x - 2

a)

x = -1

b)

x = 1

c)

x = 2

d)

x = 10/14

34.

Solve the following equation for x:
10x - 6x = 23 + 5

a)

x = 18/16

b)

x = 6

c)

x = 7

d)

x = 1

35.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

36.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

37.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

38.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

39.

Which of the following is a LINEAR equation?

a)

$y=-3x$

b)

$y=x^2+x$

c)

$9y-4=4xy$

d)

$-2x=\frac{19}{y}$

40.

Which graph represents the equation y = 4x - 1 ?

a)

b)

c)

d)

41.

Which graph represents the table?

a)

b)

c)

d)

42.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

43.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

44.

What is the slope of the line $y=\frac{1}{2}x-\frac{3}{4}$ ?

a)

0

b)

$\frac{-3}{4}$

c)

$\frac{1}{2}$

d)

1

45.

Which graph correctly represents the equation $y=\frac{2}{3}x-3$ ?

a)

b)

c)

d)

46.

Which is the graph of $x=1$ ?

a)

b)

c)

d)

47.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

48.

Y = 4X + 5
if X = -2
What does Y equal?

a)

3

b)

-3

c)

7

d)

-8

49.

Does the division problem have a remainder? 41 ÷ 3

a)

yes

b)

no

50.

Convert the mixed fraction to a improper fraction.

a)

27 /7

b)

21 /7

c)

31 /7

d)

41/7

Math Reasoning 3 Final Semester 1

Total questions: 50

Worksheet time: 4hrs 10mins

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