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Worksheets

Interim Worksheet

Total questions: 70

Worksheet time: 3hrs 41mins

Name
Class
Date
1.
Solve for x:
2x + 5 = 12
a)
7
b)
3
c)
3.5
d)
8.5
2.
Solve for x: 
4x + 1 = 7x - 5
a)
-1
b)
2
c)
6/11
d)
8
3.
Solve for x:
6(2x + 1) = 18
a)
3
b)
17/12
c)
1
d)
2
4.
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.
5.
What is the definition of a coefficient?
a)
The letter used to represent a quantity
b)
The little number or letter used to raise to a power
c)
The number in front of a variable
d)
The number in back of a variable
6.
Which of the following is an expression?
a)
6x + 2x = 6
b)
10 = 5x
c)
2x + 6x - 10
d)
6x2 + 10 = 25
7.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
8.
Which operation will cancel out multiplication?
a)
A.  Addition
b)
B. Subtraction
c)
C. Multiplication
d)
D. Division
9.

Let's try it. Which answer shows an equivalent expression created with the Distributive Property?

8(5 + 7x)8\left(5\ +\ 7x\right)  

a)

40 + 56x

b)

40 + 7x

c)

(40 + 56x)

10.

Now let's apply it to an equation. What will this equation look like after you simplify it?

4(2 + 3x) = 564\left(2\ +\ 3x\right)\ =\ 56  

a)

8 + 12x = 568\ +\ 12x\ =\ 56  

b)

8 + 3x = 568\ +\ 3x\ =\ 56  

11.

What will this equation look like after you have simplified?

29 = 5(2a  1) + 2a-29\ =\ 5\left(2a\ -\ 1\right)\ +\ 2a  

a)

29 = 10 a  5 + 2a-29\ =\ 10\ a\ -\ 5\ +\ 2a  

b)

29 = 12a  5-29\ =\ 12a\ -\ 5  

12.

Solve this one. Type your answer in the space provided.

8  n = 3(2n  4)-8\ -\ n\ =\ -3\left(2n\ -\ 4\right)  



(a)  

13.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
14.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
15.

Solve the inequality

a)

x ≤ -17

b)

x ≤ -11

c)

x ≤ 7

d)

x ≤ -35

16.
-p − 4p > -10
a)
p > -2
b)
p > 2
c)
p < -2
d)
p < 2
17.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
18.
What inequality does the number line graph represent?
a)
2x +1 < -3
b)
x + 2 < 4
c)
-x + 3 > 1
d)
x + 4 >= 2
19.
What inequality is graphed?
a)
x > 2 and x < 4
b)
x ≥ 2 and x ≤ 4
c)
x > 2 or x < 4
d)
x ≥ 2 or x ≤ 4
20.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
21.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
22.
Solve: 
3x + 2 < -7  or  -4x + 5 < 1
a)
x < -3  and  x < 1
b)
x < -3  and  x > 1
c)
x < -3  or  x < 1
d)
x < -3  or  x > 1
23.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
24.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
25.

Select all possible solutions for this inequality.

a)

1

b)

2

c)

3

d)

4

e)

2.5

26.
a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

27.

Solve for l

V=lwh

a)

l = whv

b)

l = wh/V

c)

l = V/wh

d)

I = vhw

28.

Solve for x

y = mx+b

a)

m+y=xb

b)

m-y = xb

c)

y-b/m=x

d)

y+b/m=x

29.

Convert this from "standard form" to the "slope-intercept."

Ax+By=C

a)

y =CB   AxBy\ =\frac{C}{B\ }\ -\ \frac{Ax}{B}

b)

y = CAx + By\ =\ \frac{C}{Ax\ +\ B}

c)

y=Ax+by=Ax+b

d)

y = AxB  + CBy\ =\ -\frac{Ax}{B\ }\ +\ \frac{C}{B}

30.
Solve for t.
D= rt
a)
D/r = t
b)
Dr = t
c)
D/t = r
d)
Dt = r
31.
What should we do first to solve for x?
y=mx+b
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
32.
A set of ordered pairs is called what?
a)
Coordinates
b)
Relation
c)
Function
d)
Vertical Line Test
33.
A relation where every input yields one and only one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
34.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
35.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
36.

Does this relation represent a function?

a)

No

b)

Yes

37.
Is this table a function or not a function? 
a)

Function

b)

Not a Function

38.
Is the relation a function?
a)

yes, it is a function

b)

no, it is not a function

c)

not enough information to determine

39.
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.
40.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
41.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function 
42.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
43.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
44.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
45.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
46.
Find the slope between the two given points: (-2,1) and (5,7)
a)
7/6
b)
2
c)
6/7
d)
-2
47.
Write the equation of the line.
a)
y=(3/5)x+1
b)
y=(3/5)x-1
c)
y=(5/3)x+1
d)
y=(3/5)x+1
48.

Write down the equation of this line.

a)

y= 2x+1

b)

y= −2x+1

c)

y= 2x−½

d)

None of the above

49.

Describe the slope of the line.

a)

negative slope

b)

0 slope

c)

positive slope

d)

undefined slope

50.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
51.
Find the slope:
y = 2x - 10
a)
1/2
b)
2
c)
5
d)
-10
52.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
53.
a)

A

b)

B

c)

C

d)

D

54.
a)

A

b)

B

c)

C

d)

D

55.
a)

A

b)

B

c)

C

d)

D

56.
a)

A

b)

B

c)

C

d)

D

57.

The y-intercept is ​ (a)   and the slope is ​ (b)  

Choose from the below words
(0,-3)

34\frac{3}{4}  

(-3,0)
(4,0)
(0,4)

43\frac{4}{3}  

34-\frac{3}{4}  

43-\frac{4}{3}  

58.

Given:  y=35xy=\frac{3}{5}x , the slope is ​ (a)   and the y-intercept is ​ (b)  

Choose from the below words

35\frac{3}{5}  

0
1

53\frac{5}{3}  

35-\frac{3}{5}  

53-\frac{5}{3}  

59.

Which graph represents the function:   y=12x2y=-\frac{1}{2}x-2  

a)
b)
60.

Given the graph above, which equation shifts line down 5 units?

a)

y = 4x - 1

b)

y = 2x - 6

c)

y = 4x - 6

d)

y = 2x - 1

61.
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
a)
The graph of g is a vertical translation 4 units up from the graph f
b)
The graph of g is a horizontal translation of the graph of f, 4 units right
c)
The graph of g is a horizontal translation of the graph of f, 4 units left
d)
The graph of g is a vertical stretch of the graph of f, by a factor of 7
62.
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
a)
The graph of g is a vertical translation 2 units up of the graph of f
b)
The graph of f is a horizontal translation two units left of g
c)
The graph of g is a vertical stretch by a factor of 2 of the graph of f
d)
The graph of g is a reflection of the graph of f
63.

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

a)

g(x) is shifted up 3 units

b)

g(x) is shifted down 3 units

c)

g(x) is shifted left 3 units

d)

g(x) is shifted right 3 units

64.
How did the equation shift from the parent function? y = f(x + 7)
a)
Up 7
b)
Down 7
c)
Left 7
d)
Right 7
65.

What is the linear parent function?

a)

y = x

b)

y = mx + b

c)

f(x) = 2x

d)

Not here

66.

Which represents the parent function shifted down two units?

a)

f(x) = -2x

b)

f(x) = x - 2

c)

f(x) = x + 2

d)

f(x) = 2x

67.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

Graph g is less steep by a factor of 1/5

b)

Graph g shifted down 1 unit

c)

Graph g is steeper by a factor of 1/5

d)

Graph g shifted up 2 units

68.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

Graph g shifted down 6 units

b)

Graph g is steeper by a factor of 7

c)

Graph g is less steep by a factor of 1/3

d)

Graph g shifted up 6 units

69.

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation.

a)

g(x) is shifted up 3 units

b)

g(x) is shifted down 3 units

c)

g(x) is shifted left 3 units

d)

g(x) is shifted right 3 units

70.

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 7. Does this result in a horizontal or vertical translation?

a)

horizontal

b)

vertical