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GYM DAY ALGEBRA REVIEW

Total questions: 103

Worksheet time: 6hrs 12mins

Name
Class
Date
1.

Which of the following is NOT a form of a linear equation.

a)

Point-Slope Form

b)

Decimal Form

c)

Standard Form

d)

Slope-Intercept Form

2.
The x-values of a relation.
a)
Range
b)
Domain
c)
Output
d)
Slope
3.
The y-values of a relation.
a)
Domain
b)
Range
c)
Input
d)
Vertical Line Test
4.
The ratio of the change in y-values (rise) with the change in x-values (run).
a)
Slope
b)
Range
c)
Scientific Notation
d)
Rational
5.
y = mx + b
is in what form?
a)
Slope-Intercept
b)
Point-Slope
c)
Standard
6.
When lines have the same slope, they are said to be what?
a)
Parallel
b)
Perpendicular
7.
What makes two lines perpendicular?
a)
Same Slope
b)
Opposite/ Reciprocal Slope
c)
Opposite Slope
d)
Upside-down Slope
8.
Ax + By = C
is in what form?
a)
Slope-Intercept
b)
Point-Slope
c)
Standard
9.
Two or more equations or inequalities is referred to as what?
a)
System
b)
Function
c)
Rational
d)
Solution
10.
No solution to a system of equations is where the lines are ________.
a)
Intersecting
b)
Parallel
c)
Coinciding (same)
d)
Starting
11.
Infinitely many solutions to a system of equations is where the lines are ________.
a)
Intersecting
b)
Parallel
c)
Coinciding (same)
d)
Starting
12.
Like terms have the same ______ and _____
a)
numbers and letters
b)
coefficients and sign
c)
variables and exponents
d)
none of these
13.
5x4- 3x3+12x2-x +5 represents a 
a)
quadratic
b)
polynomial
c)
equation
d)
none of these
14.
Is the graph linear, exponential, quadratic or absolute value?
a)
Linear
b)
Exponential
c)
Quadratic
d)
Absolute Value
15.

Which set of ordered pairs does not represent a function?

a)

{(2, 1), (4, 3), (4, 2), (1, 5)}

b)

{(1, 2), (2, 3), (3, 4), (4, 5)}

c)

{(2, 5), (3, 5), (4, 5), (6, 5)}

d)

{(5, 4), (4, 3), (3, 2), (2, 1)}

16.

What is the rate of change (slope) for this function?

5x - 10y = 20

a)

1/2

b)

2

c)

-2

d)

-1/2

17.

The table below represent the distance (in miles) an airplane can travel on a given amount of gasoline.
How far (to the nearest mile) will the airplane be able to go on 40 gallons of gasoline?

a)

720

b)

600

c)

650

d)

700

18.

Solve the system of equations.

-5y + 4x = 49

7y + 2x = -23

a)

(6, -5)

b)

(18.5, 5)

c)

(-6, -5)

d)

(-6, 5)

19.

The first 4 terms in a patter are shown below:
-10, -2, 6, 14, ...
If the pattern continues which expression can be used to find the nth term?

a)

8n - 18

b)

-10n - 8

c)

-8n + 10

d)

8n + 18

20.

What is the value of x in the solution to this system of equations?

5x = 2y + 8

y = -3x + 7

a)

2

b)

-2

c)

1

d)

-1

21.

Which inequality describes all the solutions to 4 (2 - x) > -6x + 12 ?

a)

x > 2

b)

x > -2

c)

x > 10

d)

x > -10

22.

Mark took a group students to a museum. He bought a total of 15 tickets. Adult movie tickets were $10 and children’s tickets wer $6. If the total cost of the tickets was $110, how many children’s tickets did Mark buy?

a)

10 children's tickets

b)

5 children's tickets

c)

15 children's tickets

d)

9 children's tickets

23.

Given f (x) = 4 (2 - x), what is the value of

f (-6)?

a)

32

b)

-32

c)

-16

d)

16

24.

Mrs. Tafolla graphs the function f (x) = x and

g (x) = f (x) -10 on the same coordinate grid. How are the graphs of f and g are related.

a)

The graph of f is shifted down 10 units to create the graph of g.

b)

The graph of f is steeper than the graph of g.

c)

The graph of f is less steep than the graph of g.

d)

The graph of f is shifted up 10 units to create the graph of g.

25.

Dr. Ratliff wants to install new desks. The construction workers are charging $30 per hour, plus the cost of the desks. Dr. Ratliff needs 15 desks of which cost $40 per desk. Which equation can be used to find c, the cost of installing the desks in terms of h, the amount of hours the construction workers work?

a)

c = 30h + 600

b)

c = 40h + 15

c)

c = 30h + 15

d)

c = 600h + 30

26.

If a line is formed using the ordered pairs (-2, 4) and (5, 2) what is the slope of the line?

(Hint: y2 - y1 / x2 - x1)

a)

-2/7

b)

-7/2

c)

6/3

d)

6/7

27.

Solve the equation:

5x - (5 - 2x) + 10 = 2x + 3(2x - 2)

a)

x = 11

b)

x = 1

c)

x = -11

d)

x = -1

28.

The athletics program has three games to earn the gate money for. The amount of money they earn is a function of the amount of people who buy tickets. This function is represented by the three ordered pairs (20, 70), (50, 100), (90, 200). What is the domain of this function?

a)

(20, 50, 90)

b)

(70, 100, 200)

c)

(20, 100, 200)

d)

(70, 50, 90)

29.

What is the zero of f (x) = -1/4x + 25 ?

a)

100

b)

25

c)

-100

d)

-25

30.

What is the range of the graph?

a)

−5<y≤4-5<y\le4

b)

−2<y≤3-2<y\le3

c)

−5≤y≤4-5\le y\le4

d)

−2≤y≤3-2\le y\le3

31.

Write an equation to represent the graph.

(Hint: y = mx + b)

a)

y=−12x+3y=-\frac{1}{2}x+3

b)

y=12x+3y=\frac{1}{2}x+3

c)

y=x+3y=x+3

d)

y=−2x+5y=-2x+5

32.

 y≥25x+3y\ge\frac{2}{5}x+3 
What is the slope and y-intercept of this inequality?

a)

slope = 25\frac{2}{5}  ; y-int. = 3

b)

slope = 3 ; y-int. =  25\frac{2}{5}  

c)

slope =  25\frac{2}{5}  ; y-int. = 5

d)

slope = 3 ; y-int. = 2

33.

The perimeter of a rectangle is 82 inches. The length of the rectangle is 4x - 5 and tis width by

3x + 4. What are the dimensions of this rectangle in inches?

a)

length = 19 in ; width = 22 in

b)

length = 35 in ; width = 31 in

c)

length = 18 in ; width = 20 in

d)

length = 35 in ; width = 30 in

34.
a)
b)
c)
d)
35.
a)
b)
c)
d)
36.
a)
b)
c)
d)
37.
a)
b)
c)
d)
38.
What is the value of x?
316 = (38)(3x)
a)
2
b)
8
c)
4
d)
1
39.

(-3y-5)-2

a)

y10 / 9

b)

9 / y-7

c)

6 / y10

d)

6 / y3

40.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
41.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
42.
Simplify the expression.
1/w-5
a)
1/w5
b)
w5
c)
w-5
d)
1/w-5
43.
Simplify.
(x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²
a)
x¹⁹y¹²z⁹
b)
x¹⁹ y¹⁴z⁹
c)
x¹³y¹⁰z⁹
d)
x²³y⁴²z¹¹
44.
A rectangle has an area of 24m² and a base of 4m. What is the height?
a)
20m
b)
6
c)
6m
d)
6m²
45.
A rectangle has an area of 34x²y⁸ and a base of 17xy.  What is the height?
a)
2xy⁷
b)
17xy
c)
17xy³
d)
2xy
46.
Simplify
(x-²)¹/²
a)
1∕ (x³/²)
b)
1∕ (x²)
c)
1∕ x
d)
x
47.
Find the perimeter of the rectangle with length ( x - 5) and width ( 3x + 1)
a)
3x2 -14x -5
b)
3x2 -5
c)
8x -8
d)
x2 -15x -5
48.
Simplify
(4x3 -3x2 + 6x - 4) - (-2x3 + x2 -20)
a)
4x2 - 6x3 - 2x + 6
b)
3x + 5x2 + 1
c)
6x3 -4x2 + 6x +16
d)
3x + 2
49.

Subtract the following polynomials:


(-5x2 + x3 - 2x + 3) - (-5x2 -x3 + 4x + 8)

a)

2x3 - 6x + 11

b)

2x3 - 6x - 5

c)

2x3 - 10x2 - 6x - 5

d)

- 10x2 - 6x - 5

50.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
51.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
52.
Multiply
(4x+3)(2x-1)
a)
8x2-2x-3
b)
8x-3
c)
8x2+6x-3
d)
8x2+2x-3
53.
-5x6(3x2 - 12x + 30)
a)
-15x8 + 60x7 - 150x6
b)
15x8 - 60x7 - 150x6
c)
8x6 - 17x + 35
d)
-8x6 + 17x - 35x2
54.

Simplify the product.

(2x – 6)2

a)
4x2 – 24x + 36
b)
4x2 – 8x + 36
c)
4x2 + 36
d)
4x2 – 12x + 36
55.
Find the area of a rectangle with length (x-5) and width (3x+1).
a)
3x2+16x-5
b)
3x2-14x+5
c)
3x2-14x-5
56.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
57.
(5x2y-xy2+5x-3)+(4xy2-3y+7xy-5)+(2x2y-3xy)
a)
7x2y + 3xy2 - 3y + 4xy + 5x - 8
b)
7x2y + 3xy2 - 3y + 4xy + 5x + 2
c)
7x2y - 5xy2 - 3y + 4xy + 5x - 8
d)
3x2y + 3xy2 - 3y + 4xy + 5x - 8
58.
Dividex4 + x3 +2x2 +x -1  by (x+1)
a)
x2 + 2x -1
b)
x3 + 2x-1
c)
x2 - 2x + 1
d)
x3 - 2x + 1
59.
 Multiply: (r + 7)(r − 7) 
a)
r 2 − 49 
b)
r 2 + 14
c)
r 2 − 7r + 49 
60.
Multiply (n - 5)(n - 1)
a)
n2 - 5n + 5
b)
n2 - 6n + 5
c)
n2 + 5
d)
n2 + 6n + 5
61.
Multiply  7x2y3 (2x4y5+6xy3)
a)
14x8y15+42x2y9
b)
9x6y8+13x3y6
c)
14x6y8+42x3y6
d)
14x6y8+42x2y6
62.
Factor Completely:
x2 - 36
a)
(x + 9)(x - 4)
b)
(x - 6)(x - 6)
c)
(x - 9)(x + 4)
d)
(x + 6)(x - 6)
63.
Factor the polynomial. 
x2-4x-32
a)
(x-8)(x+4)
b)
(x-4)(x-32)
c)
(x+3)(x-4)
d)
x+2)(x+5)
64.
Factor:
x2 - 49
a)
(x + 7)(x - 7)
b)
(x + 7)2
c)
(x - 7)2
d)
(x+7)(x-1)
65.
8r3 + 16r2
a)
4r2(2r + 4)
b)
8r2(r + 2)
c)
8(r3 + r2)
d)
4(r3 + 2r2)
66.
−28a6 +20a4 −40a3
Find the GCF
(greatest common factor) 
a)
4a2
b)
4a3
67.
2x3y8 + 6x4y2 + 10x5y10 what is the GCF? 
a)
2x3y2
b)
x3y2
c)
2
d)
-x3y2
68.
Factor
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
69.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
70.
Factor
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
71.
Factor
2x2 - 13x - 70
a)
(2x-7)(x+10)
b)
(7x+5)(x+2)
c)
(2x+7)(x-10)
d)
2(x+7)(x+10)
72.
Factor
5x2-28x+32
a)
(3x-10)(x+6)
b)
(x-8)(5x-4)
c)
(5x-8)(x-4)
d)
(5x-8)(x+7)
73.
Factor
9x2-6x-8
a)
(3x+2)(3x-4)
b)
(3x+2)(3x+4)
c)
(3x-2)(3x-4)
d)
(x-1)(9x+8)
74.
factor completely 
81m2 - 1 
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
75.
Factor completely: 
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
76.
7r3-8r2+42r-48
a)
(r2+6)(7r+8)
b)
(r2+6)(7r-8)
c)
(r2+6)(r2+8)
d)
(r2+6)(7r+6)
77.
2x3-8x2-x+4
a)
(2x2-1)(x-4)
b)
2(x2-1)(x+4)
c)
(x2-1)(2x-4)
d)
(2x2+1)(x-4)
78.
Factor by grouping:
5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
79.
Factor by grouping:
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
80.
Is this a perfect square trinomial?
x2 + 16x + 64
a)
Yes
b)
No
81.
Is this a perfect square trinomial?
x2 + 18x + 9
a)
Yes
b)
No
82.
Factor: x2 + 24x + 144
a)
(x + 12)2
b)
(x + 9)2
c)
(x + 15)2
d)
(x + 13)2
83.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
84.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
85.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
86.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
87.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
88.
What is the common ratio for the sequence:
3, 15, 75...
a)
12
b)
1/5
c)
5
89.
What is the explicit rule for the sequence:
11, 22, 44, 88...
a)
an = 2(11)n-1
b)
an = 11x2
c)
an = 11(2)n-1
90.
Identify the y-intercept (initial value) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
91.
Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...
a)
-216
b)
-148
c)
-146
d)
-150
92.
Select the explicit rule that represents the sequence.
a)
6 + 5(n - 1)
b)
4 + 6(n - 1)
c)
6 - 4(n - 1)
93.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
94.
Write the following equation in slope-intercept form:
4x - 3y = 12
a)
y = -4/3x + 3
b)
y = -4x + 12
c)
y = 4/3x - 4
d)
y = 4/3x - 12
95.
Find the x and y intercepts
4x - 5y = 40
a)
x intercept is 10 
y intercept is 8
b)
x intercept is 10
y intercept is 20
c)
x intercept is 8
y intercept is 10
d)
x intercept is 10
y intercept is -8
96.
Write the equation below in standard form
y = 2/3 x + 5.
a)
-2/3x+y=5
b)
2x - 3y= -15
c)
-6/3x + 3y= 15
d)
-2x+3y=15
97.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
98.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
99.
There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?
a)
d + c = 174
4d + 2c = 50
b)
d + c = 50
4d + 2c = 174
c)
d + c = 50
2d + 4c = 174
d)
d + c = 174
2d + 4c = 50
100.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
101.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
102.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
103.
What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 
a)
1
b)
-1
c)
3
d)
4

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