Addition
Solve for x.
x + 8 = 24
x = 16
x - 12 = 1
x = 13
3x = 42
x = 14
To solve a division equation, use the inverse operation of _________.
Multiplication
Clive is 19 years younger than Josh. Clive is 34. Use the equation y - 19 = 34 to find Josh's age, y.
y = 53
Josh is 53 years old.
28 + x = 43
x = 15
Choose the statement that describes a way to solve the equation x – 23 = 18.
A. Subtract 23 from both sides of the equation.
B. Subtract 18 from both sides of the equation.
C. Divide both sides of the equation by 23.
D. Add 23 to both sides of the equation.
D. Add 23 to both sides of the equation.
Tell which property of equality was used to create an equivalent equation.
m ÷ 2 = 8
m ÷ 2 x 2 = 8 x 2
Multiplication Property of Equality
x ÷ 25 = 11
x = 275
Jane has $3 and 10 dimes in her pile. Jeremiah has 40 dimes in his pile. If Jane gives Jeremiah $2 and Jeremiah gives Jane 20 dimes, will the two piles still be equal in value? Explain.
Yes. $2 is equal to 20 dimes. Jane and Jeremiah subtracted the value of $2 and then added the same amount to each pile. The value of each pile is still equal.
Find the first step in solving the equation 24 = y + 16.
A. 24 x 16 = y - 16 x 16
B. 24 ÷ 16 = y + 16 ÷ 16
C. 0 = y + 16 - 24
D. 24 - 16 = y + 16 - 16
D. 24 - 16 = y + 16 - 16
31 = x - 24
x = 55
112 = 14x
x = 8
30 = x ÷ 3
x = 90
Nadia made 56 muffins. She wants to fill each treat bag with 8 muffins. Nadia bought 7 bags. Use the equation 56 ÷ b = 8 to explain whether Nadia bought enough bags.
Yes. Nadia bought enough bags. 7 is a solution to the equation, since 56 ÷ 7 = 8.
0.81 = n + 0.49
n = 0.32
x - 4.3 = 5.5
x = 9.8
1.9x = 8.74
x = 4.6
p ÷ 8.2 = 9.3
p = 76.26
Samuel is 4 feet tall. His father is 6 feet tall. Which equation represents how much taller Samuel's father is than Samuel?
A. 6 = 4 + x
B. 4 - x = 6
C. 6 + 4 = x
D. x - 6 = 4
A. 6 = 4 + x