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5/30/22 Math 1 Final Study Guide

Total questions: 76

Worksheet time: 19hrs 46mins

Name
Class
Date
1.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

2.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

3.

What is the initial value?

a)

3

b)

0

c)

2

d)

8

4.

Find the intial value

a)

0

b)

3

c)

4

d)

5

5.

Find the rate of change from the graph

a)

0

b)

undefined

c)

5

d)

-5

6.

Solve the following equations.

11−2x=3x+111-2x=3x+1  


x= ?x=\ ?  



(a)  

7.
What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)
a)
y = x + 2
b)
y = 2x - 1
c)
y = -x + 2
d)
y = -2x - 1
8.
Suppose a family pays $29.99 for a dinner meal. They leave a 15% tip. Find both the tip and the total price of the meal.
a)
Tip = $15.20
Total = $45.20
b)
Tip = $1.10
Total = $31.10
c)
Tip = $9.40
Total =  $24.56
d)
Tip = $4.50
Total = $34.50
9.
x2 - 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
10.

Factor completely.

x2 - 144

a)

( x - 12 ) 2

b)

( x - 12 ) ( x - 12 )

c)

( x + 12 ) ( x + 12 )

d)

( x + 12 ) ( x - 12 )

11.
Factor:  
x2 - 100
a)
x(x - 100)
b)
(x + 1)(x - 100)
c)
(x - 1)(x + 100)
d)
(x + 10)(x - 10)
12.
Factor
81m2 - 1 
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
13.
Factor 4y2 – 9.
a)
(2y + 3)(2y – 3)
b)
prime
c)
(2y + 3)(2y + 3)
d)
(2y – 3)(2y – 3)
14.
Factor completely.
5x2 - 7x + 2
a)
5(x - 2)(x + 1)
b)
(5x - 2)(x + 1)
c)
(7x - 1)(x - 4)
d)
(5x - 2)(x - 1)
15.
Factor
4n2 - 17n - 15
a)
(n-10)(6n+1)
b)
(4n-5)(n-3)
c)
(n-5)(4n-3)
d)
(n-5)(4n+3)
16.
Factor:
 4h² - 17h + 4
a)
(2h - 2)²
b)
4(h + 4)(h + 1)
c)
(2h - 2)(2h + 2)
d)
(h - 4)(4h - 1)
17.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
18.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
19.
What is the 71  ?
a)
1
b)
7
c)
0
d)
14
20.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
21.
Which number is the BASE?
23 = 8
a)
2
b)
3
c)
8
22.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
23.
The exponent equivalent of 20 x 20 x 20 is
a)
20 x 3
b)
203
c)
320
24.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
25.
x-3
a)
-3x
b)
x3
c)
1/ x-3
d)
1/ x3
26.
2 * 22 *22
a)
24
b)
84
c)
36
d)
25
27.
Simplify: x ∙ x ∙ x ∙ x ∙ x  ∙ x
a)
x6
b)
6x
c)
x3
d)
6x6
28.
(2-3)2
a)
64
b)
32
c)
1/32
d)
1/64
29.

(2x2)2(3x3)3

a)

36x10

b)

36x13

c)

108x13

d)

96x10

30.
(x3)(x2)
a)
x-5
b)
x-6
c)
x6
d)
x5
31.
(4x)3
a)
7x3
b)
64x3
c)
12x3
d)
16x3
32.
Add:
(3x² - 3x + 2) + (x² - 2x + 1)
a)
A
4x³-2x²+2
b)
B
4x² - 5x + 3
c)
C
-2x³+2x+2
d)
D
4x³-2x²-2
33.

Add or subtract to simplify.
(5x+x2−4)−(4x−x2+6)\left(5x+x^2-4\right)-\left(4x-x^2+6\right)  

a)

2x2 + x + 2 

b)

x + 2

c)

2x2 + x - 10 

d)

x - 10 

34.
What is the perimeter of the triangle shown?
a)
9r2+r-5
b)
9r4+r2-4
c)
9r2-r+4
d)
9r2+r-4
35.

Multiply the following together:

(3x - 2)(6x + 1)

a)

18x2 - 2

b)

9x2 -9x -2

c)

18x2 -9x -2

d)

3x2 -12x

36.

Multiply the following together:

(2x + 3)(x2 + 4x + 1)

a)

2x3 + 8x2 +2x

b)

3x2 + 12x +3

c)

2x3 +11x2 +14x +3

d)

2x3 + 12x +3

37.
What is the Area?
a)
2x2 - 3x - 18 inches2
b)
2x2 + 3x + 18 inches2
c)
2x2 + 9x - 18 inches2
d)
2x2 - 9x - 18 inches2
38.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
39.

Write the equation for the line in slope-intercept form.

a)

y= -4x+3

b)

y= 4x+3

40.

find the slope

Change in y (up and down) over the change in x (to the right)

a)

3/2

b)

-3/2

41.
Simplify the expression:
7v + 2 + 12 + 2v
a)
9v + 14
b)
9 + 14v
42.
(2⁸)²
MULTIPLY THE EXPONENTS 
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
43.
n²⋅n⁴⋅n⁵
ADD THE EXPONENTS 
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
44.
In 83 what is the base?
a)
8
b)
3
c)
83
45.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
46.

Which equation represents the following graph?

a)

y = 2x + 3

b)

y = -2x + 3

47.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
48.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
49.
Simplify by combining like terms:
8a + 10b - 6a + 44 + 10b
a)
2a + 20b + 44
b)
14a + 20b + 44
50.

what is the variable that willl be "eliminated"?


5x - 4y = 11

5x + 4y = -14

a)

x variable

b)

y variables

c)

both variables

51.

what is the resulting combined equation to the following system:


5x - 4y = 11

5x + 4y = -14

a)

5x = -3

b)

10y = -3

c)

10x = -3

d)

10x = -25

52.

5x - 4y = 11

5x + 4y = -14


which variable will be eliminated?

a)

x

b)

y

c)

none!!!!!!!

d)

both

53.

what is the resulting combined equation for the system below?


9x + y = 12

-9x + y = 6

a)

-18x = 18

b)

y = 18

c)

2y= 18

d)

18x + 2y = 18

54.
Solve the system by elimination.  

−8x − 10y = 20
−8x − 6y = −4 
a)
Infinite number of solutions  
b)
(6, 5) 
c)
(−6, −5) 
d)
(5, −6) 
55.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
56.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
57.
Solve the equation:
3(x - 1) = 2x + 9
a)
x = 12
b)
no solution
c)
x = 10
d)
x = 6
58.
Describe the solution set:
2(x + 5) = 2x + 5
a)
one solution
b)
no solution
c)
infinitely many solutions
d)
two solutions
59.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
60.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
61.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
62.
If a system of linear equations has one solution, what does this mean about the two lines? 
a)
Parallel lines
b)
the same line 
c)
Intersecting lines
63.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
64.

How many solutions are there in the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

65.

What is the solution to the system of equations?

a)

(-1, -3)

b)

(3, 1)

c)

(1, 3)

d)

(-3, -1)

66.
Determine the slope and y-intercept.         y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
67.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
68.
Solve for x and y.
2x − 3y = −1
 y = x − 1
a)
(-2,-3)
b)
(0,-1)
c)
(3,4)
d)
(4,3)
69.
Solve the system of equations:
y=5x+3
y=-2x-4
a)
(2,-1)
b)
(-1,-2)
c)
(1,-2)
d)
(-2,-1)
70.
Given the equation
4x + 2y = 10  
What is the slope-intercept form of this equation? 
a)
y = 2x + 5
b)
y = -2x + 5
c)
y = 4x + 10
d)
y = -2x - 10
71.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
72.
Change from standard form to scientific notation:  450,000
a)
4.5  x  105
b)
45  x  105
c)
4.5  x  104
d)
4.5  x  106
73.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
74.
Change from standard form to scientific notation: 0.004078
a)
4.078  x  10-3
b)
4.078  x  103
c)
40.78  x  10-4
d)
.4078  x  10-2
75.

Choose the number that is written in scientific notation.

a)

0.78 x 10-2

b)

7.8 x 103

c)

78.0 x 10-4

d)

780 x 105

76.

Write 7.113 x 107 in standard form.

a)

71,130,000

b)

7,113,000

c)

0.0000007113

d)

7,113

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