Operations and Algebraic Thinking

What do you do FIRST in this equation: 4 + (3-1) x 10=?

• 4+3

• 1 x 10

• 3-1

• 4 x 10

What do you do SECOND in this equation? 4 + (3-1) x 10=?

• 4+1

• 4+2

• 2 x 10

• 4 x 10

What do you do LAST in this equation? 4+(3-1)x10=?

• 4+2

• 4x10

• 4+3

• 4+20

What does GEMS stand for?

• Groups, Exponents, Multiplication/division, Subtraction/Addition

• Guys, Elevators, Monkeys, Swans

• Grandma, Edgar, Max, Superman

• Grover, Elmo, Monster, SuperGrover

In solving this equation, what should you do LAST?

4 + 5 x 10=

• 5 x 10

• 4 + 5

• 4+10

Which equation fits this number story:

Sophia has $25. She makes $4 a week for the next two weeks. How much money does she have then?

• 25 + 4 + 2=

• (25 + 4) x 2=

• 25 x 4 + 2=

• 25 + (4 x 2)=

Solve this equation:

4 + (3x2) x 5=

• 45

• 90

• 29

• 70

Carlo and Kevin were solving (2+5) x 3+2=?

Kevin says the answer is 35.

Carlo says it is 23.

Who is wrong, and what was his mistake?

• Kevin is wrong because he didn’t do the parentheses first.

• Carlo is wrong because he added last instead of second.

• Carlo is wrong because he did the parentheses first.

• Kevin is wrong because he multiplied last instead of second.

In the equation below, what operation should happen LAST?

(5x4) x 5 + 3

• Multiplication

• Addition

• Subtraction

• Division

When you are adding and subtracting in a long equation, do you go right to left, or left to right?

• Right to left

• Left to right

• It doesn’t matter, they both have commutative property

• It doesn’t matter, they both have distributive property