Algebra Ace Challenge

• What property allows you to add the same number to both sides of an equation without changing its solution?

• • Distributive Property

• Associative Property

• Addition Property of Equality

• Commutative Property

To solve 3x=15, you would use the ______ Property of Equality.

• Which of the following is the first step you would take to solve the equation 2x+5=11?

• Divide by 2

• • Subtract 5 from both sides

• • Add 5 to both sides

• Multiply by 2

True or False: When solving an equation, the goal is to isolate the variable on one side of the equation.

• TRUE

• FALSE

• Solve for x: x−7=12

• x=5

• x=19

• x=−5

• x=−19

• Solve for y: 4y=28

• y=7

• y=24

• y=32

• y=112

• Solve for m: 2m+3=17

• m=20

• m=10

• m=14

• m=7

• Solve for p: 3(p−2)=15

• p=5

• p=7

• p=3

• p=9

• Solve for k: 5k−8=2k+7

• k=1

• k=3

• k=5

• k=15

• Sarah bought 3 notebooks and a pen. The pen cost $2. If her total bill was $11, and each notebook cost the same amount, what was the cost of one notebook? (Let n be the cost of one notebook).

• $3

• $4

• $5

• $9

Answer explanation

Correct Answer: A) $3 , since

3n + 2 = 11

3n= 11 - 2

n= 9/3

n=3