Simplifying Expressions
Word Problems
Solving Equations
Ratios/Rates/_/Proportions
Angle Relationships
100
3(x+4)
3x+12
100
A car travels 36 miles in 3 hours. What is the speed of the car in miles per hour?
Write your answer as a fraction.
(12 mi)/(1hr)
100
x-(-5)=-7
x=-12
100
Write the ratio of 3 cats to 5 dogs as a fraction
3/5
100
Two angles that add up to 90 degrees.
complementary
200
2x+2-4x+5
-2x+7
200
Janelle buys notebooks for $2 each and a folder for $4. Her total is $10. How many notebooks did Janelle buy?
3
200
x/5=25
x=125
200
Solve for x using cross multiplication.
4/x=10/15
x=6
200
Two angles that add up to 180.
supplementary
300
5(2x+3)-3(x-2)-y
7x+21-y
300
Samantha bought 3 notebooks and one binder. Each notebook cost the same amount. The binder costs $5.
If she spent a total of $20, how much did each notebook cost?
$5
300
4(x+6)-4=12
x=-2
300
If 3 pencils cost $1.50, how much do 10 pencils cost?
$5.00
300
Solve for x.
x = 23
400
5(x+2y-3)+2(3x+4)
11x+10y-7
400
A yoga studio charges $12 registration fee plus $5 per class. If Natalie paid $60, how many yoga classes did she attend?
9 yoga classes
400
2(x+6)=3x-4
x=16
400
In a trail mix recipe, the ratio of peanuts to raisins is 3 to 2. If a chef uses 12 cups of raisins, how many cups of peanuts are needed?
18
400
Solve for x.
x = 32
500
4(x-2y)-(3x-y+4)-6y
x-13y-4
500
A punch recipe calls for a ratio of 1 1/2 cups of orange juice to 3 1/4 cups of pineapple juice. If you have 13 cups of pineapple juice, how much orange juice do you need
6
500
5x-2(x+3)=x+4
x=5
500
A painter is mixing red paint and white paint to make a shade of pink. The recommended ratio is 2:5(red paint to white paint). If the painter uses 15 cups of white paint, how many cups of red paint should be added?
6
500
Find the angle measure of <CAD.
75°