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WorksheetsLinear & Literal Equations, and Inequalities
Total questions: 30
Worksheet time: 1hrs 27mins
Name
Class
Date
1.
To solve an equation, the goal is to __________ the variable on one side.
a)
Evaluate
b)
Leviate
c)
Isolate
d)
Reciprocate
2.
A letter or symbol that represents an unknown value is called ______________.
a)
Variable
b)
Radicand
c)
Coefficient
d)
Constant
3.
When you add a number to each side of an equation, you are using the ___________.
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
4.
When you use the reciprocal of a fractional coefficient to each side of an equation, you use the ___________.
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
5.
What are inverse operations?
a)
Absolute values
b)
Opposite operations used in isolating a variable
c)
Operations used for only inequalities
d)
Unknown quantity represented by a letter or symbol
6.
What is fixed term or number?
a)
Constant
b)
Coefficient
c)
Variable
d)
Solution
7.
What type of equation involves two or more variables?
a)
Literal
b)
Linear
c)
Quadratic
d)
Nonlinear
8.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
9.
pV = nRT
solve for R
solve for R
a)
R= pV/nT
b)
R= p/n + V/T
c)
R= pV - nT
d)
R= (pV-n)/T
10.
Solving the formula P = 2L + 2W for W is not equivalent to which equation?
a)
(P-2L)/2 = W
b)
(P/2) - (2L/2) = W
c)
(1/2)P - L = W
d)
P - (1/2)L = W
11.
What should we do first to solve for x?
y=mx+b
y=mx+b
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
12.
Solve:
V = πr²h , for h
V = πr²h , for h
a)
V/(πr²) = h
b)
V - πr² = h
c)
V + πr² = h
d)
V/π = h
13.
a)
L = r / (2A)
b)
L = 2A + r
c)
L = 2A - r
d)
L = (2A) / r
14.
Which expression represents the value of e in the equation:
dx + e = f
a)
e = (f + e)/d
b)
e = (f - x)/d
c)
e = d/(x - f)
d)
e = f-dx
15.
Solve:
C = 2πr, for r
C = 2πr, for r
a)
C/(2π) = r
b)
C + 2π = r
c)
C - 2π = r
d)
2πC = r
16.
Simplify each equation. Tell whether the equation has one solution, no solution, or infinitely many solutions.
3x - 8 = 3(x - 4) + 1
3x - 8 = 3(x - 4) + 1
a)
one solution
b)
no solutions
c)
infinitely many solutions
17.
Simplify each equation. Tell whether the equation has one solution, no solution, or infinitely many solutions.
3x - 7 = 3(x - 3) + 2
3x - 7 = 3(x - 3) + 2
a)
one solution
b)
no solutions
c)
infinitely many solutions
18.
Erika sold half of her comic books and then bought sixteen more. She now has 36. How many did she begin with?
a)
36
b)
40
c)
20
d)
10
19.
-85 ≥ 5k-5
a)
-16 ≤ k
b)
-18 ≤ k
c)
-16 ≥ k
d)
-18 ≥ k
20.
Solve the inequality:
-2x + 5 < x - 7. Which value is in the solution set?
-2x + 5 < x - 7. Which value is in the solution set?
a)
2
b)
4
c)
-1
d)
5
21.
Solve the linear inequality.
-5x < 15
(Note: When dividing
by a negative,
'flip' the inequality symbol.)
a)
x > 3
b)
x < 3
c)
x > -3
d)
x < -3
22.
Match this number line
to its correct solution.
a)
x > 2
b)
x > 2
c)
x < 2
d)
x < 2
23.
Match this number line
to its correct solution.
a)
b)
c)
d)
24.
Solve the compound inequality.
–10 ≤ 2x + 4 < 22
a)
–3 < x ≤ 13
b)
–7 ≤ x < 9
c)
–7 < x ≤ 9
d)
–3 ≤ x < 13
25.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
26.
What is the rule for two-step inequalities when multiplying or dividing by a negative coefficient.
a)
No change
b)
Flip the sign
c)
What's an inequality?
d)
Get rid of the negative sign
27.
Which sentence represents m > 41?
a)
Mary’s points, m, totaled more than 41
b)
Calvin ran no less than 41 miles, m
c)
The temperature, m, was less than 41°F
d)
The magazines’ cost, m, was not more than $41.
28.
The room holds no more than 400 people. Which inequality represents the amount of people the room holds?
a)
P ≥ 400
b)
P ≤ 400
c)
P < 400
d)
P > 400
29.
Steve runs more than 40 miles per week. Which inequality represents the amount of miles he runs?
a)
M < 40
b)
M ≥ 40
c)
M ≤ 40
d)
M > 40
30.
Which inequality represents the situation ten less than a number is no more than 30?
a)
10 - x ⪯ 30
b)
x - 10 ⪯ 30
c)
30 - x ⪯ 10
d)
x - 30 ⪯ 10
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