Free Printable Semester 1 Study Guide

1.

Represents an unknown value

a)

Equation

b)

Inequality

c)

Coefficient

d)

Variable

2.

Mathematical statement in which two expressions are equal

a)

Equation

b)

Inequality

c)

Variable

d)

Constant

3.

Term that does not contain a variable

a)

Constant

b)

Inequality

c)

Variable

d)

Coefficient

4.

Relationship in which two expressions are not equal

a)

Equation

b)

Inequality

c)

Coefficient

d)

Constant

5.

Value that multiplies a variable

a)

Equation

b)

Coefficient

c)

Constant

d)

Variable

6.

Figures with the same angle degrees, but proportional side lengths

a)

Transformation

b)

Congruent

c)

Similar

d)

Pre-Image

7.

Change in size, shape or position of a figure

a)

Transformation

b)

Pre-Image

c)

Image

d)

Similar

8.

Figures with the same angles and side lengths

a)

Image

b)

Pre-Image

c)

Congruent

d)

Similar

9.

Name for the figure before a transformation

a)

Image

b)

Pre-Image

c)

Transformation

d)

Congruent

10.

Name for figure after the transformation

a)

Image

b)

Pre-Image

c)

Similar

d)

Congruent

11.

Determines the steepness of a line

a)

Solution

b)

Slope

c)

Y-Intercept

d)

Dependent Variable

12.

The points at which the line crosses the y-axis

a)

Solution

b)

Slope

c)

Dependent Variable

d)

Y-Intercept

13.

Point that makes the linear equation true

a)

Independent Variable

b)

Slope

c)

Solution

d)

Y-Intercept

14.

x variable: can change freely

a)

Independent Variable

b)

Dependent Variable

c)

Y-Intercept

d)

Solution

15.

y variable: value depends on the independent variable

a)

Independent variable

b)

Dependent variable

c)

Y-Intercept

d)

Solution

16.

Which of the following is the decimal equivalence of $32.\overline{2}\$ %?

a)

$32.\overline{2}$

b)

0.32

c)

0.322

d)

$0.3\overline{2}$

17.

$\frac{1}{3}(3x+6)=x-2$

a)

x = -4

b)

x = 0

c)

No Solution

d)

Infinitely Many Solutions

18.

A theater is divided into a green section and an orange section. The green section has 350 seats, and the rest of the seats are in the orange section. A ticket for a green section seat costs $75, and a ticket for an orange section seat costs $50.

a)

A

b)

B

c)

C

19.

A theater is divided into a green section and an orange section. The green section has 350 seats, and the rest of the seats are in the orange section. A ticket for a green section seat costs $75, and a ticket for an orange section seat costs $50.

a)

A

b)

B

c)

C

20.

A theater is divided into a green section and an orange section. The green section has 350 seats, and the rest of the seats are in the orange section. A ticket for a green section seat costs $75, and a ticket for an orange section seat costs $50.

a)

A

b)

B

c)

C

21.

Which graph matched the inequality:

$\frac{-x}{2}>1$

a)

A

b)

B

c)

C

d)

D

22.

Select ALL solutions to the inequality:

$-4x\ +\ 5\ \ge\ -23$

a)

-7

b)

0

c)

7

d)

9

e)

12

23.

Which of the following transformation results in a similar figure?

a)

Rotaion

b)

Reflection

c)

Dilation

d)

Translation

24.

Point P is at (3,4). It is reflected over the y-axis. In what quadrant is point P now located?

a)

I

b)

II

c)

III

d)

IV

25.

The vertices of a parallelogram are $W(-6,3),X(-4,4),Y(-2,2)andZ(-4,1).$

The parallelogram is rotated 180° clockwise about the origin. What are the coordinates of X’?

a)

(6, -3)

b)

(4, -4)

c)

(2, -2)

d)

(4, -1)

26.

What is the scale factor of the following dilation?

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

1

d)

2

27.

A point is translated 4 units down and 2 units left. Which of the following gives the coordinate rule for the transformation?

a)

$(x,y)→(x-4,y-2)$

b)

$(x,y)→(x-2,y-4)$

c)

$(x,y)→(x+4,y+2)$

d)

$(x,y)→(x+2,y+4)$

28.

Two sides of a triangle are 9 centimeters and 6 centimeters. Select ALL the sides lengths that you could use for the third side.

a)

12 cm

b)

2 cm

c)

3 cm

d)

4 cm

e)

9cm

29.

What is the measure of an angle that is complementary to 23°?

a)

23°

b)

67°

c)

113°

d)

157°

30.

What are the measures of the interior angles in the triangle?

a)

50°, 30°, 100°

b)

47°, 61°, 72°

c)

45°, 44°, 91°

d)

40°, 60°, 80°

31.

What is the interior angle sum of a 17-gon?

a)

180°

b)

2700°

c)

3060°

d)

3420°

32.

What is the value of x?

a)

8 cm

b)

6 cm

c)

4 cm

d)

2 cm

33.

What is the value of j in the following?

$\frac{7}{10}=\frac{j}{3.1}$

a)

0.23

b)

2.17

c)

4.42

d)

217

34.

The scale drawing has a scale of 1 in : 250 ft. What is the actual length of a segment that is 5 inches?

a)

50 feet

b)

250 feet

c)

1000 feet

d)

1250 feet

35.

What is the equation of this graph?

a)

$y=\frac{1}{10}x$

b)

$y=-\frac{1}{10}x$

c)

$y=10x$

d)

$y=-10x$

36.

What point do all proportional graphs need to intersect?

a)

(1, 1)

b)

(2, 4)

c)

(0, 0)

d)

(8, 7)

37.

Does the following table represent a proportional relationship?

a)

Yes

b)

No

38.

What is the equation of the line that passes through the points (-5, -7) and (5, 13)?

a)

$y=\frac{3}{5}x\ +\ 10$

b)

$y=\frac{3}{5}x-10$

c)

$y=\ -\frac{3}{5}+10$

d)

$y=\ -\frac{3}{5}-10$

39.

The cost y (in dollars) of using a ride-share service is y = 2.25x + 6.75, where x is the number of miles. What is the correct interpretation of the slope and y-intercept?

a)

The slope of 6.75 is the initial cost. The y-intercept of 2.25 is the cost per mile.

b)

The slope of 2.25 is the initial cost. The y-intercept of 6.75 is the cost per mile.

c)

The slope of 6.75 is the cost per mile. The y-intercept of 2.25 is the initial cost.

d)

The slope of 2.25 is the cost per mile. The y-intercept of 6.75 is the initial cost.

40.

Is (-7, 4) a solution to the following system?

y = -3x - 17

y = 4x + 32

a)

Yes. it is a solution

b)

Np, it is not a solution

41.

How many solutions does the following system have?

y = 1/2x + 3

y = 1/2x - 3

a)

One Solution

b)

No Solutions

c)

Infinitely Many Solutions

42.

How many solutions does the following system have?

y = 1/2x - 5

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

43.

How many solutions does the following system have?

y = 5x - 4

y = 3x - 8

a)

One Solution

b)

No Solutions

c)

Infinitely Many Solutions

Semester 1 Study Guide

Total questions: 43

Worksheet time: 22mins

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