Proportions
On a map drawn to scale, 7 cm represents 280 km. How many kilometers are represented by a line 8 centimeters long?
320 km
What is 19% of 250?
47.5
Bebe paid $8.00 for 20 pounds of oranges. Find the unit rate.
$0.40 per pound
When do you drop the brackets when solving an absolute value equation?
After they have been isolated, when you are ready to make 2 equations.
Solve for y: 18 = 3y – 12x
y = 4x + 6
n = 1.5
46 is what percent of 40?
115%
Carla knits 30 stitches in 20 minutes. Find the unit rate.
1.5 stitches per minute.
Solve: -3|2x-5|=-27
x=7 or x=2
Solve for p: 5(4x + p) = w
p = w/5 - 4x
(x+6)/x = 10/7
x=14
Fabio scored an 80% on his 40 point quiz. How many points did he earn.
32 points
Find each unit rate. Then determine which is the better buy.
20 gallons of gasoline for $58.80 or 16 gallons for $47.84
$2.94/gal and 2.99/gal
Is x=-3 a solution of the following equation? DO NOT SOLVE, USE PEMDAS.
4 - |6 - x| = -5
Yes, x=-3 is a solution.
Solve for k: 3 – 3k + 7k = 5b
k = 5/4b - 3/4
8/(5x-4) = 6/(x+5) Round to the nearest tenth.
x = 2.9
$36
Tamara ran 16 miles in 3.5 hours. Daniel ran 10 miles in 2 hours. Who had the faster pace? What was their pace?
Daniel @ 5mph.
Solve: 10 + |7 - x| = 10
x = 7
Solve for a: 6 - 3ca = -6ba. Fully simplify your answer.
a = 2 / -2b+c
A five-foot boy casts a two-foot shadow. At the same time, the shadow of the court house tower is 25 feet in length. How tall is the court house tower?
62.5 ft
In her basketball game, Trish made 80% of her baskets shot. If she made 12 baskets, how many times did she shoot? How many did she miss?
15 total shots, 3 missed shots
Maria reads 45 pages per hour. Use the unit rate to determine how many pages she could read in 6 hours.
270 pages.
Solve: -6|x - 11| + 4 = -26
x = 6 or x = 16
Solve for x: z = -x+5 / 4mx
x = 5 / 4mz+1