Find the unit rate.
92 miles driven using 4 gallons of gas
23 miles per gallon
Set up a proportion or equation & solve.
What number is 15% of 38
5.7
Solve.
-34 - (-20)
-14
Convert 3/11 to a decimal.
Show all long division work.
0.27 repeating
Rewrite using the distributive property.
(-2)(2x - 3)
-4x+6
Solve the equation.
-8x - 4 = 12
x=-2
(1/5)/(3/10)
2/3
Find the percent of change. State if increase/decrease.
15 ft to 23 feet
53% increase
Solve.
-24 div -3
8
Solve.
− 1/14 − 9/14
-5/7
Identify the terms, like terms, coefficients, and constants.
8x + 2 + 11x + 1
T: 8x, 2, 11x, 1
LT: 8x & 11x, 2&1
Coeff: 8, 11
Constants: 2, 1
Solve the equation.
4(x+3) = -16
x=-7
What are the two things a graph needs in order to be proportional?
What needs to happen in order for a TABLE to be proportional?
Graph - straight line & pass through origin
Table - All ratios reduce to be equal.
My bill was $46 and I decided to leave a 15% tip. What is my total bill?
$52.90
Evaluate.
|3| - |-5|
-2
4/5 + -5/6
-1/30
Add the linear expressions
2(3x - 5) + (-4x - 5)
2x - 15 or 2x+-15
Solve & graph the inequality on the number line.
x+5<-10
x<-15
open circle, arrow point to left
Set up a PROPORTION & solve.
If it takes the Ramirez family 3 days to travel 1,560 miles, how many days will it take them to travel 3,640 miles?
1560/3 = 3640/x
7 days
I invested $3,500 for 3 years. If I earned $250 in interest, what was my interest rate? Round to the nearest tenth percent.
John spends $8 each day this week. There are 7 days in a week, so how much total did John spend all week?
Show an expression & solve.
(Make sure to be thinking in terms of INTEGERS)
-8 x 7
-$56
A recipe calls for 2 1/4 teaspoons of baking soda. If the recipe is tripled, how much baking soda is needed? Write as a mixed number.
6 3/4 tsp
(9x-12) - (5x-7)
4x-5 or 4x+-5
Solve & graph the inequality on the number line.
5x - 3 ≥ 17
x ≥ 4
closed circle, arrow to the right
Shawn and Crystal work at the hardware store. The wages earned for the weekend are shown in the table and graph. Find the constant rates of change/slope for both. Who gets paid more per hour? Explain.
Shawn - $10/hr
Crystal - $12/hr
Crystal earns more.
Find the total cost of a $25 shirt with a 10% discount and 6% sales tax.
$23.85
-14 - 10+ 4 + - 1 — 2 + 20 - 16 + (-6)
-25
Usually Clarissa jogs 2 3/5 miles a day. Today she jogged half her usual distance. How far did she jog? Write answer as a mixed number
1 3/10 miles
Factor the linear expression
4xy-28x
4x(y-7)
An online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases. How many pounds is a DVD player for which the shipping charge is $11.94?
Set up an equation & solve.
6.99 + 0.55p = 11.94
p = 9 pounds