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WorksheetsAlgebra Remediation - Student Achievement Test 2019
Total questions: 80
Worksheet time: 2hrs 32mins
Name
Class
Date
1.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
2.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
3.
-r - 10r
a)
11r
b)
-11r
c)
9r
d)
-11
4.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
5.
2(4X-7)
a)
8x-14
b)
8x-7
c)
6x+7
d)
8x+14
6.
-(6 - 4p)
a)
6-4p
b)
6+4p
c)
-6+4p
d)
6p-4
7.
Simplify the following expression
9 + 5m - 4
9 + 5m - 4
a)
5m-5
b)
10m
c)
5m+5
d)
5m+13
8.
Simplify the following expression:
-7x +5 (1 - 8x)
-7x +5 (1 - 8x)
a)
-33x + 5
b)
5 + 33x
c)
47x + 5
d)
5 - 47x
9.
Simplify the following expression:
-8 (5b + 2) -7 (b - 5)
-8 (5b + 2) -7 (b - 5)
a)
-33b + 19
b)
-47b2 + 21
c)
33b - 19
d)
-47b -19
10.
Write an equation for
8 less than y is 6
8 less than y is 6
a)
y-8=6
b)
y+8=6
c)
8+6=y
d)
8-y=6
11.
The total area decreased by 75 feet is 250 square feet.
a)
75 - a = 250; a= 175
b)
a - 75 = 250; a= 325
c)
250 - 75; a=175
d)
x -250 = 75; a = 175
12.
Cheryl gets paid $8 per hour at her job at the record store. She made a total of $96 last week. Write a multiplication equation to show how many hours she worked last week.
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
13.
What is the difference between an expression and an equations?
a)
An expression has an equal sign (=)
b)
an equation has an equal sign (=)
14.
Ted bought a dolphin poster for $12. He now has $5. Write and solve a subtraction equation to find out how much money Ted took to the aquarium.
a)
m - 12 = 5
b)
m - 5 = 12
c)
m + 5 = 12
d)
m + 12 = 5
15.
Write the expression:
4 less than 5 times p
4 less than 5 times p
a)
5p - 4
b)
4 - 5p
c)
4p - 5
d)
5 - 4p
16.
A(n) ______ does not have an equal sign
a)
equation
b)
expression
c)
math book
d)
linear equation
17.
Which is an equation?
a)
5r + s
b)
4r + s > 3
c)
4(x + y)
d)
5r + w = 8
18.
What is the first step in solving this equation:
5x + 7 = 12
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
19.
What is the first step to complete when solving this equation?
10 - 3y = 4
10 - 3y = 4
a)
Add 10
b)
Subtract 10
c)
Add 3
d)
Divide by -3
20.
Solve:
-4x = 24
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
21.
Solve:
7x - 3x - 8 = 24
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
22.
Solve the equation for x.
10x + 9 = 4x - 9
10x + 9 = 4x - 9
a)
0
b)
3
c)
-3
d)
-18
23.
Solve the equation for w.
7w + 5 = 3w - 15
7w + 5 = 3w - 15
a)
5
b)
-2
c)
2
d)
-5
24.
What is the first step to solve this equation:
11 - 3x = 44
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.
25.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
26.
7 + a⁄3 = 5
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
27.
The steps in solving 5b - 6 = 24 are:
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
28.
A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
29.
Solve for f:
f - 4 = 6f + 26
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
30.
14p - 8 = 22 + 20p
a)
-5
b)
5
c)
30
31.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
32.
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
a)
2 hours
b)
3 hours
c)
4 hours
d)
5 hours
33.
Solve:
2(4x-3) - 8 = 4 + 2x
2(4x-3) - 8 = 4 + 2x
a)
x = 5/3
b)
x = 3
c)
x = 1
d)
x = 2
34.
Solve:
5y+34 = -2(-7y+1)
5y+34 = -2(-7y+1)
a)
y = -4
b)
y = 9
c)
y = 4
d)
y = 36/19
35.
Solve
1/2(s-12)= 1/4(s+ 16)
1/2(s-12)= 1/4(s+ 16)
a)
s = -40
b)
s= 40
c)
s=20
d)
s= -20
36.
What does 4x - 7 represent?
a)
equation
b)
exponent
c)
expression
d)
equivalent
37.
What does the 8 represent in the following equation: 8x - 7 = 9 ?
a)
constant
b)
base
c)
power
d)
coefficient
38.
In algebra what does x represent in x + 6 = 2
a)
constant
b)
operation
c)
variable
d)
cofficient
39.
Inverse operations are...
a)
Terms that have the same variable(s) raised to the same power
b)
A method for multiplying binomials. First Outside Inside Last
c)
An algebraic expression with "many" terms
d)
Opposite operations that undo each other.
40.
An example of the distributive property of multiplication is....
a)
2 × 3 = 3 × 2
b)
2 × (3 + 4) = (2 × 3) + (2 × 4)
c)
2 × 1 = 2
d)
2 ×1/2= 1
41.
An equation is ....
a)
A mathematical sentence that compares the values of two expressions using an inequality symbol
b)
A variable that provides the input values of a function
c)
A mathematical sentence that uses an equal sign
42.
A coefficient is ...
a)
A polynomial with two terms
b)
A term that has no variable factor
c)
A mathematical sentence that uses an equal sign
d)
The numerical factor when a term has a variable
43.
A variable is defined as...
a)
Anything that can be measured or counted
b)
A number that repeats itself
c)
A symbol, usually a letter, that represents the value of a variable quantity
d)
The distance that a number is from zero on the number line
44.
Simplify:
[25-(13+4)+4] ÷ 3
[25-(13+4)+4] ÷ 3
a)
6
b)
2
c)
3
d)
4
45.
Solve the following:
(2 + 7 - 1) ÷ 22
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
46.
15 + 7 × 2 – 11 + 35=
a)
38
b)
251
c)
53
d)
50
47.
In PEMDAS, what does the M stand for?
a)
Masterful
b)
Mad
c)
Math
d)
Multiplication
48.
7[12 − (6 − 2) ÷ 4]
a)
7
b)
77
c)
14
d)
0
49.
What would be my first step in solving this problem?
3 + 4 ∗ 6 - 4
3 + 4 ∗ 6 - 4
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
50.
Evaluate the expression above
a)
781
b)
93
c)
141
d)
108
51.
Evaluate the following expression:
2(4)2 - 3 + 12 + (4+1)
a)
32
b)
46
c)
38
d)
40
52.
Evaluate the expression above
a)
88
b)
25
c)
85
d)
24
53.
Evaluate the expression above
a)
35
b)
17
c)
89
d)
70
54.
Who solved this expression correctly?
a)
Jackson
b)
Noah
55.
9/3+2(9+10)-8+4*3
a)
38
b)
45
c)
15
d)
73
56.
A mathematical statement that two expressions are equivalent.
a)
Vertex
b)
Equation
c)
Variable
d)
Binomal
57.
A function of the form , f(x)= a(b)x
a)
Linear Function
b)
Quadratic Function
c)
Exponential Function
58.
A number that is multiplied by a variable
a)
Constant
b)
Variable
c)
Integers
d)
Coefficient
59.
a(b+c) = ab + ac
a)
Parallel Line
b)
Perpendicular Line
c)
Expression
d)
Distributive Property
60.
_____is a value that does not change.
a)
Constant
b)
Coefficient
c)
Variable
d)
Rate of Change
61.
2x + y = 1
a)
coeffiecient
b)
term
c)
variable
d)
constant
62.
x + y
a)
expression
b)
equation
63.
x + y = 50
a)
expression
b)
equation
64.
The coefficient in the following expression is:
x + y
x + y
a)
0
b)
1
c)
x
d)
y
65.
How many terms in the following expression:
5x + 3y - 15 + x
5x + 3y - 15 + x
a)
1
b)
2
c)
3
d)
4
66.
a symbol for an unknown value
a)
term
b)
operator
c)
variable
d)
coefficient
67.
Find the slope of:
(1,8) and (3,12)
(1,8) and (3,12)
a)
2
b)
1/2
c)
9/7
d)
-2
68.
Find the slope:
a)
2
b)
-2
c)
1/2
d)
-1/2
69.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
70.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
71.
S = 3F - 24 Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
72.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
73.
3.) Simplify
(45x6y2)/(5x4y9)
a)
(9x2)/y7
b)
40x2y7
c)
9x2y7
d)
9x10y11
74.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
75.
Evaluate the expression using the quotient rule.
a)
34
b)
1/34
c)
3-12
d)
332
76.
Write an equation for this phrase, "The square root of x is equal to 3."
a)
x2 = 3
b)
x2 = 9
c)
√x = 3
d)
√x = 9
77.
Which of the following aren't perfect squares?
a)
36
b)
42
c)
27
d)
121
78.
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.
79.
Is this table a function or not a function?
a)
Function
b)
Not a Function
80.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
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