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Semester 1 Review + Exponents Preview

Total questions: 50

Worksheet time: 2hrs 44mins

Name
Class
Date
1.
a)
-2
b)
24
c)
10
d)
2
2.

Find f(2).

a)

f(2) = 9

b)

f(2)= -15

c)

f(2) = -9

d)

f(2) = 21

3.

Algebra tiles are modeled to the left, which expression describes the model?

a)

2x2+y2+2y2x^2+y^2+2y

b)

2x2⋅y2⋅2y2x^2\cdot y^2\cdot2y

c)

2x2y2+2y\frac{2x^2}{y^2+2y}

d)

2x2−y2+2y2x^2-y^2+2y

4.

Which algebraic expression is shown above?

a)

77

b)

7x27x^2

c)

12x12x

d)

7x7x

5.

Name the following algebra tiles

a)

2x + 2y

b)

2y + 3

c)

2y + 3x

d)

2 + 3x

6.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
7.
Simplify the following expression
7 - 8c + 3 - 6c 
a)
-10+14c
b)
-25
c)
10-14c
d)
25c
8.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
9.
-4(-4d - 5)
a)
-16d+20
b)
16+20
c)
16d+20
d)
16s-20
10.
Distribute: 
-3(a + b - c)
a)
-3a + 3b - 3c
b)
-3a - 3b + 3c
c)
-a - b + c
d)
-3a + 3b + 3c
11.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
12.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
13.

If you were to graph the inequality would the circle be open or closed?

x ≥ 15

a)

open

b)

closed

14.

If you were to graph the inequality would the arrow point to the left or right?

x > -8

a)

left

b)

right

15.

Select the inequality that represents the graph:

a)

x ≤ 1

b)

x > 1

c)

x < 1

d)

x ≥ 1

16.

Select the inequality that represents the graph:

a)

x ≤ 0

b)

x > 0

c)

x < 0

d)

x ≥ 0

17.

Represent the following situation as an inequality:

My sister plans to sell more than 250 boxes of cookies.

a)

c > 250

b)

c < 250

c)

c ≤ 250

d)

c ≥ 250

18.

Represent the following situation as an inequality:

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

19.

Represent the following situation as an inequality:

Tom can spend no more than 20 dollars on his mom's birthday present.

a)

t > 20

b)

t < 20

c)

t ≤ 20

d)

t ≥ 20

20.
What type of slope does the following graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
21.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
22.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
23.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
24.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
25.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
26.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y = 3/2x + 3

b)

y = 2/3 - 3

c)

y = 2/3x - 3

d)

y = -3x + 2/3

27.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
28.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
29.

Find the slope & the y-intercept of the equation.

a)

Slope: 8; y−intercept: 3Slope:\ 8;\ y-intercept:\ 3

b)

Slope: 13; y−intercept: 18Slope:\ \frac{1}{3};\ y-intercept:\ \frac{1}{8}

c)

Slope: 1; y−intercept: 18Slope:\ 1;\ y-intercept:\ \frac{1}{8}

d)

Slope: 18; y−intercept: 3Slope:\ \frac{1}{8};\ y-intercept:\ 3

30.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
31.

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.

32.

Solve the diamond problem by finding the missing values

a)

x = 6 , y = -6

b)

x = 6 , y = 6

c)

x = 0, y = -36

d)

x = -6, y = -6

33.

Solve the diamond problem by finding the missing values

a)

xy = 24 , x+y = 10

b)

xy = -24 , x+y= -2

c)

xy = -24 , x+y = 2

d)

xy = -10, x+y = -2

34.

Which of the following graphs does NOT represent a function?

a)
b)
c)
d)
35.

Which of the following tables does NOT represent a function?

a)
b)
c)
d)
36.
In 23 what is the base?
a)
2
b)
3
c)
23
d)
There isn't a base
37.

In 52 what is the base?

a)

2

b)

52

c)

5

d)

There isn't a base

38.
In 23 what is the exponent?
a)
2
b)
3
c)
23
d)
There isn't an exponent
39.

In 52 what is the exponent?

a)

2

b)

52

c)

5

d)

There isn't an exponent

40.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
41.

Which is equivalent to 34

a)

3 x 4

b)

4 x 3

c)

3 x 3 x 3 x 3

d)

4 x 4 x 4

42.
What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6
a)
6 to the 7th power
b)
6 to the 8th power
c)
7 to the 9th power
d)
10 to the 5th power
43.
25 is the same as 2 x 5.
a)
True
b)
False
c)
Maybe
d)
10
44.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
45.

In the following expression, what is the exponent?

82

a)

8

b)

2

c)

64

d)

1

46.

In the following expression, what is the base?

63

a)

6

b)

3

c)

729

d)

216

47.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
a + b   
a)
7
b)
8
c)
9
d)
6
48.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
3ab
a)
10
b)
12
c)
15
d)
36
49.
Which number is greatest?
a)
-1
b)
-4
c)
-6
50.
How do you correctly say 43
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2