Expressions and Equations
What is the value of the expression when x=4, 3x+5?
17
Solve: x+7=12
x=5
Solve: 2x+3=11
x=4
Write an inequality: "x is greater than 5."
x>5
A pencil costs $2$2. How many pencils can you buy with $10$10? (Write and solve an equation.)
2t=10
t=5
Simplify the expression: 2(3x+4)−x
5x+8
Solve: 5x=35
x=7
Solve: 3x−5=16
x=7
Solve and graph (describe solution): x+3>7
x>4 (All numbers greater than 4)
Maria has 3 times as many stickers as Zoey. If Zoey has 8 stickers, write an expression for Maria's stickers and find how many Maria has.
3x8=24 stickers
Write an expression to represent "7 less than twice a number n."
2n−7
Solve: x/4=6
x=24
Solve: 1/2x+4=10
x=12
Solve: 2x≤10
Describe the solution set.
x≤5 (all numbers less than or equal to 55)
A movie theater charges $6 per ticket. You have $30. Write and solve an equation to find how many tickets you can buy.
6t=30
t=5
Evaluate the expression for m=−2: 4m2−3m+1
23
Solve: −3+x=10
x=13
Solve: −2x+7=1
x=3
Write an inequality to represent: "A number n is at most 12."
n≤12
The sum of a number and 9 is 21. Write and solve an equation to find the number. Then show how you'd check your solution.
x+9=21
x=12
12+9=21
Expand and simplify: (x+3)(2)+(x−1)
3x+5
Solve for y: −8y=56
x=-7
Solve: 4x−9=3x+6
x=15
Solve and state the infinite solution description: −3x+2≥−7
x≤3 (note dividing by negative reverses inequality)
Sam is saving money. He already has $12 and saves $4 each week. Write an equation for his total after w weeks. How many weeks until he has at least $40? (Write an inequality, solve, and interpret.)
t=12+4w
4w≥28
w≥7
At least 7 weeks.