Answer these 10 multiple-choice questions on linear equations and literal equations. Each question has exactly one correct answer. Work the problem on paper first, then choose, and read the explanation for any miss.
Algebra 1Common Core: A-REI.A.1 · A-REI.B.3 · A-CED.A.1 · A-CED.A.4
🎯 Linear Equations and Literal Equations – Algebra 1 math quiz
Question 1
What is the solution of \(3x-7=2x+5\)?
A
\(x=-2\)
B
\(x=2\)
C
\(x=-12\)
D
\(x=12\)
Question 2
Which property justifies the step from line 1 to line 2?What justifies the move from line 1 to line 2?
A
Associative property of addition
B
Subtraction property of equality
C
Distributive property
D
Commutative property of multiplication
Question 3
What is the solution of \(\frac{2}{3}x-1=5\)?
A
\(x=9\)
B
\(x=4\)
C
\(x=6\)
D
\(x=3\)
Question 4
The graph shows \(y=x+3\) and \(y=-x+7\). What is the solution of \(x+3=-x+7\)?Graphs of \(y=x+3\) and \(y=-x+7\).
A
\(x=5\)
B
\(x=2\)
C
\(x=3\)
D
\(x=7\)
Question 5
How many solutions does \(2(x+4)=2x+9\) have?
A
All real numbers
B
Exactly one solution
C
No solution
D
Exactly two solutions
Question 6
Solve \(A=\frac{1}{2}bh\) for \(b\).A triangle with base \(b\), height \(h\) and area \(A\).
A
\(b=\frac{A}{2h}\)
B
\(b=\frac{Ah}{2}\)
C
\(b=2Ah\)
D
\(b=\frac{2A}{h}\)
Question 7
Which equation solves \(C=\frac{5}{9}(F-32)\) for \(F\)?
A
\(F=\frac{9}{5}C-32\)
B
\(F=\frac{5}{9}C+32\)
C
\(F=\frac{9}{5}(C+32)\)
D
\(F=\frac{9}{5}C+32\)
Question 8
A rectangle has width \(w\) feet and length \(w+6\) feet. Its perimeter is 44 feet. What is the width?The rectangle.
A
8 feet
B
14 feet
C
19 feet
D
11 feet
Question 9
Mei spent \(\$14\) on lunch, then spent half of her remaining money on a book. She has \(\$12\) left. How much did she start with?
A
\(\$26\)
B
\(\$38\)
C
\(\$19\)
D
\(\$52\)
Question 10
What is the solution of \(0.5x+3=0.2x+9.3\)?
A
\(x=-21\)
B
\(x=21\)
C
\(x=41\)
D
\(x=12.6\)
🎉 Quiz complete!
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Remember:
- Standards A-REI.A.1, A-REI.B.3, A-CED.A.1 and A-CED.A.4 cover justified solving, multi-step equations, writing equations and rearranging formulas.
- Every step must be backed by a property: equality properties, the distributive property, or combining like terms.
- Multiply by the least common denominator to clear fractions before solving.
- If the variable cancels, a false statement means no solution and a true statement means infinitely many solutions.
- To solve a formula for one letter, treat the other letters as numbers: for A = (1/2)bh, h = 2A/b.
See every chapter on the Algebra 1 math page.