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Pre-Algebra STAAR Review

Total questions: 76

Worksheet time: 4hrs 6mins

Name
Class
Date
1.

What type of correlation does this scatterplot display?

a)

Positive

b)

Negative

c)

No Correlation

2.
What type of correlation does this graph have?
a)
Negative 
b)
no association
c)
positive 
3.

Elliott collected data from several of his friends about the number of hours they spent sleeping and the number of hours they spent playing video games on Saturday. He recorded the data in the scatterplot. Based on the scatterplot, what is the best prediction of the number of hours one of his friends spends sleeping when the friend spends 1 hour playing video games?

a)

9 hours

b)

13 hours

c)

17 hours

d)

5 hours

4.

Students in a science class investigated how the speed of changes with the air temperature outside. The data is shown in the scatterplot. Based on the scatterplot, what is the best prediction of the speed of sound when the air temperate is 50 degrees C?

a)

350 m/s

b)

355 m/s

c)

360 m/s

d)

365 m/s

5.

The scatterplot shows the number of people in each of 8 different households and the average amount of money each household spent on groceries. Based on the scatterplot, what is the best prediction of the average amount of money spent on groceries for a household that has 7 people?

a)

$230

b)

$190

c)

$270

d)

$300

6.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
7.
Find the rate of change.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
8.
Calculate the rate of change.
a)
6
b)
1/6
c)
-6
d)
-1/6
9.

What is the rate of change in the following function:

f(x)=4x5f\left(x\right)=4x-5  

a)

4

b)

4x

c)

5

d)

-5

10.

Mr. Z is starting his own car club, there is a $30 join up fee and a $5 monthly fee. What is the rate of change?

a)

30

b)

5

11.

Which statement describes the rate of change of the line?

a)

$20 each week

b)

$30 each week

c)

$25 each week

d)

$70 each week

12.

What is the rate of change in the following equation: y = - 4x - 5 ?

a)

- 4

b)

- 4x

c)

5

d)

- 5

13.

Which of the following linear equations has a slope of -3 and a y-intercept at (0, 3)?

a)

y = 3x - 3

b)

y = -3x + 3

c)

y = 3x

d)

y = x + 3

14.
What does the "b" stand for in y=mx+b?
a)
slope
b)
x-intercept
c)
y-intercept
15.
What is the y-intercept in the equation?
y = 5x - 4
a)
5
b)
-4
c)
-5
d)
4
16.
Find the equation of the line in slope-intercept form. 
a)
y = - 1/4x - 3
b)
y = 1/3x + 3
c)
y = - 1/4x + 2
d)
y = 1/3x -3
17.
Given the table, write the equation in the slope-intercept form.
a)
y = 1/3x + 6
b)
y = 3x + 6
c)
y = 2x + 6
d)
y = 1/2x + 6
18.
Paul the plumber charges $25 for a service call.  He then charges $100 an hour.  Write a linear equation to model this situation.
a)
y = 100x
b)
y = 25x
c)
y = 25x + 100
d)
y = 100x + 25
19.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
20.
a)
Function
b)
Not a Function
21.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
22.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
23.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
24.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
25.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
26.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
27.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
28.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
29.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
30.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
d)

(x-2, y+9)

31.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
32.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
33.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
34.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
35.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

36.
A dilation is which of the following: 
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
37.

A dilation produces a congruent figure

a)

True

b)

False

38.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
39.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
40.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
41.
Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
42.
Does the image show a Dilation?
a)
Yes
b)
No
43.

A dilation is given by the transformation (x, y) → (3.5x, 3.5y). What is the scale factor?

a)

3/5

b)

3.5

c)

5/3

d)

1/3.5

44.

A dilation is given by the transformation (x, y) → (.75x, .75y). What type of dilation is this?

a)

enlargement

b)

it is not a dilation

c)

reduction

45.

A dilation is given by the transformation (x, y) → (3/4x, 3/4y). What is the scale factor?

a)

4/3

b)

3

c)

3/4

d)

4

46.
What is the Algebraic Notation for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
47.
What is the Algebraic Notation for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
48.
What is the Algebraic Notation for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
49.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
50.

Which is a rule for a reflection over the x-axis?

a)

f(x,y)=(x,y)f\left(x,y\right)=\left(x,-y\right)

b)

f(x,y)=(x,y)f\left(x,y\right)=\left(-x,y\right)

c)

f(x, y)= (y, x)f\left(x,\ y\right)=\ \left(-y,\ x\right)

d)

f(x, y)= (y, x)f\left(x,\ y\right)=\ \left(y,-\ x\right)

51.

What happens to the x- and y-coordinates of a point, if it is reflected over the x-axis?

a)

The x-coordinate stays the same and the y-coordinate changes the sign.

b)

The x-coordinate changes the sign and the y-coordinate stays the same.

c)

The x-coordinate and the y-coordinate stay the same.

52.

The triangle was reflected across the y-axis.  Which algebraic representation best describes this transformation?

a)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(y,-x\right)

b)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(x,-y\right)

c)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,-y\right)

d)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,y\right)

53.

The triangle was reflected across the x-axis. Which algebraic representation best describes this transformation?

a)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(y,-x\right)

b)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(x,-y\right)

c)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,-y\right)

d)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,y\right)

54.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
55.

Sides a and b are called legs.

a)

true

b)

false

56.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

57.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

58.

Hypotenuse

a)

Vertical side in a right triangle

b)

Longest side in a right triangle

c)

Horizontal side in a right triangle

d)

a2 + b2 = c2

59.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 + b2 + c2

d)

A = LW

60.

Which equation can be used to solve for "x"?

a)

152 – x2 = 212

b)

x2 – 152 = 212

c)

152 + 212 = x2

d)

212 – 152 = x2

61.

If the triangle represents the variable and each circle equals one, is this model and equation in the image correct?

a)

Yes

b)

No, there needs to be 7 circles on the right side of the equal sign.

c)

No, there needs to be 4 circles on the right side of the equal sign.

d)

No, there needs to be a minus sign in the equation.

62.
What is 37% as a decimal?
a)
37
b)
3.7
c)
.37
d)
.037
63.

Put in the symbol to make the statement true... 17.5          121-17.5\ \ \ \ \ \ \ \ \ \ -\sqrt[]{121}  

a)
>
b)
<
c)
=
64.
Which of these values is the GREATEST?
a)

637\frac{63}{7}  

b)
8.99
c)
450%
d)
-22
65.
What is 37% as a decimal?
a)
37
b)
3.7
c)
.37
d)
.037
66.

Which list shows 193, 27, and 7.2\frac{19}{3},\ \sqrt{27},\ and\ 7.2  in order from least to greatest? 

a)

193, 27, 7.2\frac{19}{3},\ \sqrt{27},\ 7.2  

b)

7.2, 27, 1937.2,\ \sqrt{27},\ \frac{19}{3}  

c)

27, 193, 7.2\sqrt{27},\ \frac{19}{3},\ 7.2  

d)

7.2, 193, 277.2,\ \frac{19}{3},\ \sqrt{27}  

67.
A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?
a)
c = 3.00 - 0.15m
b)
c = 0.15 + 3.00m
c)
3.00 = c + 0.15
d)
c = 3.00 + 0.15m
68.
What is the first step to solve this equation 2x + 11 = 23?
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 1 to both sides
d)
Divide 3 on both sides
69.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  How many months has Jim been a member of the gym?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
70.
While at the music store, Drew bought 5 CDs, all at the same price. The tax on his purchase was $6, and the total was $61. What was the price of each CD?
a)
5x + 6 = 61
b)
x/5 + 6 = 61
c)
5/x + 6 = 61
d)
x + 5 + 6 = 61
71.

A computer printer can print 10 pages per minute.There were already 35 pages in the tray. The total pages printed was 115 pages. Write an expression for the number of pages the printer can print in m minutes.

a)

10m + 35 = 115

b)

10m + 115 = 35

c)

115m + 35 = 10

d)

35m + 10 = 115

72.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x + 63 = 35

d)

35x + 7 = 63

73.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
74.

4b+7=274b+7=27  

What is the solution for the equation,

a)

-18

b)

5

c)

-19

d)

-9

75.
What is the first step in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
76.
What is the first step to complete when solving this equation?
10 - 3y = 4
a)
Add 10
b)
Subtract 10
c)
Add 3
d)
Divide by -3