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Semester 1 Review

Total questions: 88

Worksheet time: 4hrs 13mins

Name
Class
Date
1.

Which of the graphs represents the linear inequality y>12x+3y>\frac{1}{2}x+3  ?

a)
b)
c)
d)
2.

Which of the following linear inequalities represents the graph?

a)

x≥2x\ge2  

b)

x≥−2x\ge-2  

c)

y≥−2y\ge-2  

d)

y>−2y>-2  

3.

When graphing a linear inequality, < and > signs would require you to draw...

a)

a solid line

b)

a dotted line

4.
Which point below is NOT part of the solution set?
a)
(0, -2)
b)
(1, 1)
c)
(3, 3)
d)
(2, 10)
5.

To "get rid" of a fraction in an equation you need to multiply by...

a)

The Numerator

b)

The Denominator

c)

The Reciprocal

d)

Zero

6.

When solving equations, you are "isolating" the variable. What does it mean to "isolate" the variable?

a)

To get the variable alone on one side of the equation?

b)

To remove the constant from one side of the equation, but leave the coefficient

c)

To remove the coefficient from one side of the equation, but leave the constant

d)

To have the variable equal zero

7.

Level 3

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

8.

Level 3

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

9.

Level 3

Solve for w

a)

w = 2

b)

w = 4

c)

w = 6

d)

w = 8

10.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
11.
Solve:
y = 2x -11
-3y = -6x -15
a)
(-1.5,-4)
b)
(1.5,4)
c)
No solution (parallel lines)
d)
Infinitely many solutions
12.
Solve:
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
13.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
the same line (coinciding lines)
14.
If a system of equations has infinitely many solutions, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
the same line (coinciding lines)
15.

Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
No solution
16.
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=2/3x+3
17.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
18.

What is the equation of this line?

a)

0

b)

x = 2

c)

y = -2

d)

x = -2

19.

What TWO things do you need to write a linear equation? Check both things!

a)

Slope

b)

Y-intercept

c)

Y - axis

d)

Standard form

20.

When graphing an equation, ALWAYS start with the _________.

a)

Y-intercept

b)

Slope

c)

x - axis

21.
Vertical or horizontal?
x = 4
a)
vertical 
b)
horizontal
c)
neither
22.
Vertical or horizontal?
y = -6
a)
vertical 
b)
horizontal
c)
neither
23.

What is the equation of the line shown in the graph?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

24.
What equation matches this graph?
a)
y = 2x + 2
b)
y = 3/2x + 2
c)
y = 1/2x + 2
d)
y = 2/3x + 2
25.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

26.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
27.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
28.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
29.
y = 5/7x +2
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
30.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
31.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
32.
y = 3/2x + 2
y = 2/3x + 6
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
33.
A line is parallel to   y = 2x - 7.
What is it's slope?
a)
-2
b)
1/2
c)
-1/2
d)
2
34.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
35.

Are the two linear equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

36.
which number is a rational number ?
a)
1/4
b)
π
c)
√3
37.
√25
a)
Rational
b)
Irrational
38.
The square root of 57 is ...
a)
rational 
b)
irrational 
39.

Which of the following is an irrational number?

a)

22/7

b)

√64

c)

√50

d)

2.5

40.
.141414141414...
a)
Rational 
b)
Irrational 
41.

_____________ number is a number that cannot be written as a ratio of two integers.

a)

An integer

b)

A rational

c)

An irrational

d)

A repeating

42.
Which of the following numbers is rational?
a)
√8
b)
√16
c)
√50
d)
√75
43.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
44.
A perfect square is which type of number?
a)
Rational 
b)
Irrational
45.
A non-perfect square is which type of number?
a)
Rational
b)
Irrational
46.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
47.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
48.
Which ordered pair(s) is a solution to the given system?
a)
(5,0)
b)
(1,-3)
c)
(3,3)
d)
(2,1)
49.

Which of the following is NOT a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

50.
Will my line be solid?
5 ≥ x
a)
Yes
b)
No
51.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
52.

Will the dot on the graph be colored in?

5 ≥ x

a)

Yes

b)

No

53.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
54.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
55.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

56.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
57.
Does the given value make the inequality true?  x + 9 > 21, when x = 15
a)
True
b)
Not True
58.
What is f(2)?
a)
-4
b)
8
c)
0
d)
5
59.
If f(x)=6x2-4,
what is f(-1)?
a)
-2
b)
13
c)
2
d)
0
60.
Evaluate for f(1)
a)
0
b)
-3
c)
3
d)
2
61.
Find f(- 5)
a)
- 3
b)
7
c)
2
d)
- 2
62.

If f(x) = 2x2 + 5x - 3, evaluate f(-1).

a)

f(-1) = -6

b)

f(-1) = 1

c)

f(-1) = -10

d)

f(-1) = -1

63.

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

64.
x+2<-4 or -5x<-15
a)
-6<x<3
b)
x<-3 and x>6
c)
x<-6 or x>3
d)
No Solution
65.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
66.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
67.
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
68.

Solve and graph 3d - 4 < -7 OR 5d + 2 >12

a)
b)
c)
d)
69.

Solve and graph. -3 < 3x < 6

a)
b)
c)
d)
70.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

71.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
72.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
73.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
74.
y = 5/7x +2
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
75.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
76.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
77.
y = 3/2x + 2
y = 2/3x + 6
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
78.
A line is parallel to   y = 2x - 7.
What is it's slope?
a)
-2
b)
1/2
c)
-1/2
d)
2
79.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
80.

Are the two linear equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

81.
A(n) __________________ consists of one or more numbers, variables, and operations. 
a)
numeric expression
b)
term
c)
variable
d)
algebraic expression
82.

A(n) __________________ is a number and/or variable that is separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

83.
A _____________ is a symbol, usually a letter that stands for a number. 
a)
coefficient
b)
algebraic expression
c)
variable
d)
term
84.

A __________ is the numerical term in an algebraic expression.

a)

Variable

b)

Constant

c)

Term

d)

Coefficient

85.

A ___________ is the numerical factor of a variable term in an algebraic expression.

a)

term

b)

coefficient

c)

variable

d)

constant

86.

Use the distributive property to simplify the expression.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

87.

Simplify the expression by combining like terms.

9x2+14x-x2+6x

a)

8x2+20x

b)

9x2+20x

c)

10x2+20x

d)

8x2+8x

88.

Simplify the expression.

6(2a+5b)+3(a-8b)

a)

15a+6b

b)

21ab

c)

5a

d)

15a-6b

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