Algebra 1 Unit 1: Expressions and Equations

Solving linear equations in one variable, including fractions, literal equations and equations from word problems. 12 questions. Have a go at each one on paper before you tap "Show me how".

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Question 1

Multi-step equationsNo calculator

Solve $4(x-3)+7=2x+9$.

1. $x=2$
2. $x=7$
3. $x=8$
4. $x=-7$

Question 2

Equations with fractionsNo calculator

Solve $\frac{2x+1}{3}=\frac{x-4}{2}$.

1. $x=14$
2. $x=-14$
3. $x=-10$
4. $x=-2$

Question 3

Literal equationsNo calculator

Solve $3a-5b=c$ for $b$.

1. $b=\frac{c-3a}{5}$
2. $b=3a-5c$
3. $b=\frac{3a-c}{5}$
4. $b=\frac{3a+c}{5}$

Question 4

Number of solutionsNo calculator

How many solutions does $5(x+2)-3x=2(x+4)$ have?

1. Exactly two
2. Infinitely many
3. No solution
4. Exactly one

Question 5

Number of solutionsNo calculator

For what value of $k$ does $3(2x-k)=6x+12$ have infinitely many solutions?

1. $-4$
2. $-12$
3. $4$
4. $12$

Question 6

Equations from contextNo calculator

A phone plan costs 15 dollars a month plus 0.10 dollars for each text. Last month's bill was 23.40 dollars. How many texts were sent?

1. $234$
2. $840$
3. $74$
4. $84$

Question 7

Equations from contextNo calculator

The sum of three consecutive even integers is 138. What is the largest of the three?

1. $48$
2. $44$
3. $46$
4. $50$

Question 8

Evaluating expressionsNo calculator

Evaluate $3x^2-2xy+y^2$ when $x=-2$ and $y=3$.

1. $-3$
2. $33$
3. $9$
4. $21$

Question 9

Interpreting expressionsNo calculator

A store marks every price down so that an item with original price $p$ now costs $0.85p$. What percent discount is this?

1. 85%
2. 8.5%
3. 0.15%
4. 15%

Question 10

Equations with fractionsNo calculator

Solve $\frac{x}{4}-\frac{x}{6}=3$.

1. $x=18$
2. $x=72$
3. $x=36$
4. $x=6$

Question 11

Equations from contextNo calculator

Two cyclists leave the same point at the same time and ride in opposite directions, one at 14 miles per hour and the other at 18 miles per hour. After how many hours are they 72 miles apart?

1. $2.5$
2. $1.8$
3. $4.5$
4. $2.25$

Question 12

Multi-step equationsNo calculator

Solve $0.2(x+50)=0.15x+14$.

1. $x=80$
2. $x=20$
3. $x=480$
4. $x=96$