Combining Like Terms
Simplify the expression: 3x+5+2x+7
5x+12
Expand: 3(x+4)
3x+12
Solve: x/4=5 (x over 4)
Answer: x=20
If Sarah has 3 times as many apples as John, and John has 5 apples, how many apples does Sarah have?
Answer: 15 apples
What type of number is (3/4)?
Combine the like terms: 4a+6b−2a+3b
Answer: 2a+9b
Expand and simplify: 2(4x−3)+5x
Solve: 0.5x+3=7
Answer: x=8
A train travels at 60 miles per hour. How far will it travel in 3.5 hours?
Write the ratio of 8 red marbles to 12 blue marbles in simplest form.
Simplify: 7m−3n+5m+2n−4
Answer: 12m−n−4
Factor: 6x+9 (opposite of distribute)
Answer: 3(2x+3)
Solve: 2x/3−4=2
Answer: x=9
A rectangle has a length that is twice its width. If the perimeter is 30 units, what is the width?
Answer: 5 units
A model car is built at a 1:18 scale. If the real car is 90 inches long, how long is the model?
Answer: 5 inches
If 5x+3y−2x+7y is simplified, what are the coefficients of x and y?
Coefficient of x is 3, coefficient of y is 10.
Solve for x: 4(x+2)=20
Answer: x=3
Solve: 0.25x+1.5=4
Answer: x=10
Mark spent $45 on 3 identical shirts. Write and solve an equation to find the cost of one shirt.
Convert 0.75 to a fraction
3/4
simplify: 2(3a+4b)+3(2a−b)
Answer: 12a+5b
Expand and simplify: 5(2x+3)−3(4x−1)
Solve: (3/5)x−(2/3)=(4/15)
A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 9 cups of sugar, how much flour is needed?
Answer: 6 cups
A company produces 120 products in 4 hours. What is the unit rate of production per hour?
Answer: 30 products per hour