Equations
State whether the equation is true or false:
5(8-2)=7^2-19
30 = 30
State whether the inequality is true or false:
10-3 < 9
True
7<9
A recipe calls for 5 cups of water to 7 cups of sugar. Write a ratio to represent the ratio of water to sugar.
5 cups of water to 7 cups of sugar
5 to 7
5:7
5/7
Create a factor tree for 75 and find the prime factorization.
3 x 5 x 5
3 x 52
Find the value of c that makes the equation true:
12-9+c = 12
Find the answer in its simplest form:
5/3 + 2/9
1 8/9
State whether the inequality is true or false:
17/2 < 9 1/4
True!
34/4 < 37/4
A class has an unknown number of students in it, some of whom are left-handed. The ratio of left-handed students to right-handed students is 2 to 9.
What is the ratio of left handed students to all students?
For every 11 students 2 of them are left-handed.
Which of the following is equivalent to the expression
10x+35?
1. 5(5x+7) 3. 10(x+25)
2. 7(3x+5) 4. 5(2x+7)
4. 5(2x+7)
What is the GCF of 36 and 90?
18
State whether the value of the variable is a solution:
x+3=8, x=7
No, 10 = 8 is not true
State whether the value is a solution:
x+9 > 14, x=7
Yes!
7+9 = 16
16 > 14
Louis picked potatoes and onions from his garden this year. The ratio of the number of the number of potatoes to the number of onions was 5 to 2.
What is the ratio of onions to the total number of potatoes and onions picked.
2:4
2 to 4
2/4
Solve the following:
32.7 X 20.4
667.08
A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?
13 to 8
13:8
13/8
Write an equation representing this sentence: Triple a number, n, subtract eleven, the result is equal to 10.
3n - 11 = 10
State whether the inequality is true or false:
43 > 4(15)
True!
64 > 60
At a birthday party, the ratio of kids to adults was 8 to 3. If there were 32 kids at the party, how many adults were there?
There were 12 adults at the party.
Solve the following:
5(3+7) + 2(9-3)
62
What value of m makes the equation below true?
m + 7.9 = 39 1/2
31.6
Martha is shipping 8 boxes that all contain the same number of sponges. She is shipping a total of 104 sponges. Let s equal the number of shoes in each box. Write and solve an equation involving s to find out how many sponges are in each box.
There are 13 shoes in each box.
8n=104
n=13
Write the inequality that represents this sentence:
The sum of a number n and five is at most 20
n+5 < 20
Max and Sam are playing basketball. After one game, the ratio of Max's points to Sam's points is 4 to 7. If Max has 15 points more than Sam, find out how many points Max has.
Use a table to find your answer.
Max has 20 points
If a roll of Fabric is 7 1/2 yards long and is to be cut into pieces that are 5/8 of a yard each, how many pieces can be cut?
12 pieces
Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?
125 times