Ratios
There are 20 stars and 15 hearts in a row. What is the ratio of hearts to total number of shapes?
15: 35
or
3:7
What is the sum of 14.02 + 231.742?
No calculator
245.762
What is 40% of 30?
12
Write an expression equivalent to 0.4 x 0.4 x 0.4 using exponents.
0.4^3
Write an equivalent expression.
3(x + 10)
3x + 30
A group of friends vote on whether to plan a canoeing trip or a hiking trip. The ratio of canoeing trip votes to the total number of votes is 3:10.
Which statement is true
The ratio of canoeing trip votes to hiking trip votes is 10:7.
The ratio of canoeing trip votes to hiking trip votes is 10 : 7 .The ratio of canoeing trip votes to hiking trip votes is 10:3.
The ratio of canoeing trip votes to hiking trip votes is 10 : 3 .The ratio of canoeing trip votes to hiking trip votes is 3:10.
The ratio of canoeing trip votes to hiking trip votes is 3 : 10 .The ratio of canoeing trip votes to hiking trip votes is 3:7.
D
Find the product.
23.67(5.8)
137.286
Kendall bought a vase that was priced at $450. In addition, she had to pay 3% sales tax. How much did she pay for the vase?
$463.50
Solve let f= 0.5
5f + 2^3
10.5
Rewrite the following into equivalent expressions using the GCF of both numbers and the distributive property.
16 + 22
2(8 + 11)
There are 240 students in the 6th grade with 12 teachers. What is the unit rate of teachers to students?
20 students for every 1 teacher
What is the value of (5^2 – 10) ÷ 5 × 2^3?
A 0
B 18
C 24
D 40
C: 24
If 44% of the students in Mrs. Rutherford’s class like chocolate ice cream, then how many students are in Mrs. Rutherford’s class if 11 like chocolate ice cream?
25 students
Solve 3(x + 10)
let x= 1/2
31.5
Use the distributive property and GCF to write an equivalent expression for 30𝑥 +18𝑦.
3(5x + 3y)
On a bicycle Jack can travel 20 miles in 4 hours. How many miles can he travel in an hour and a half?
7.5 miles
What is the value of the expression?
(5^2 -3) / 2 + 4^3
75
A soccer player scored 12 goals during this season. This player scored on 30% of the shots attempted. How many shots were attempted?
40 attempted shots
Which value from the set 1/2, 2/3, 4/3, 5/2 is a value of x that will make the equation 3/4 ÷ x = 9/8 true?
2/3
Write an equivalent expression to
4.5(x + 22.5x)
4.5x + 101.25x
Billy needs to make some lemonade for a bake sale at school. He found two recipes.
• The first recipe calls to use 5 lemons for every 2 quarts of water.
• The second recipe calls for 2 lemons for every quart of water.
Billy prefers a stronger lemon taste in his lemonade. Which recipe should Billy use?
First recipe
Jenny bought gas for her car.
• Gas cost $3.45 per gallon.
• Jenny bought 12.2 gallons.
What was the total cost for Jenny’s gas? Express the answer as dollars and cents.
$42.09
A shirt that was $22.50 was on sale for 25% off. How much was the shirt after the discount? Express your answer in dollars and cents round your answer to the tenths place.
$16.88
Four high school students are working on a Math 1 problem to find the solution to (2𝑥 − 3)^2 = 121 Each student got a different answer. The four answers were 5, 6, 7, and 9.
a) Which of these numbers make the equation true?
7
Write an equivalent expression for 3(𝑥 + 4) + 2(𝑥 − 2) that has only two terms.
5x + 8