One Variable Equations and Expressions

Gabe and Jacob participate in a contest. They earn 23 points in all. If Gabe scored 9 points, how many points did Jacob score? Can you solve the following equation? If my equation is x+9=23 , what would be my first step?

• I first subtract 9 from both sides to get x by itself, which x=14.

• I first add 9 from both sides to get x by itself, which x=32.

• I first multiply 9 from both sides to get x by itself, which x=207.

• I first divide 9 from both sides to get x by itself, which x=2.5.

Aaron buys organic almonds priced at $77 from the grocery store. Aaron received $23 in change. Which is the correct way to write an equation showing this below?

• x=77-23

• 23-77=x

• x-77=23

• 23-x=77

Carly was gifted a pack of crayons. Carly gave 13 crayons to her sister and was left with 11 crayons. How many crayons did the pack contain? Is there enough information to solve this problem? Why?

• yes, because c+13=11.

  If c is number of crayons in a pack, gave 13 to her sister and was left with 11 crayons so the clue words are gave & left to tell me addition is used.

• No, because there isn't enough information.

• yes, because c-13=11.

  If c is number of crayons in a pack, gave 13 to her sister and was left with 11 crayons so the clue words are gave & left to tell me subtraction is used.

Ms. LaPointe takes a test for teaching and completes it in an hour. The test has 2 sections. If she takes 35 minutes to complete the first section, how much time does she have left to complete the second section? Which answer is the correct steps?

• x-60=35

  +60 +60

  x=95 minutes

• x+60=35

  -60 -60

  x= -25 minutes

• x+35=60

  +35 +35

  x=95 minutes

• x+35=60

  -35 -35

  x=25 minutes

a symbol for an unknown value; usually a letter (such as a, x, or y) is the symbol used

• constant

• variable

• coefficient

• term

The sum of x and 2

• x+2

• x-2

• 2x

• x/2

one quarter added to n

• n/4

• n-1/4

• n + 1/4

• 1/4n

t divided by 8

• t+8

• 8t

• t/8

• t-8

3 multiplied by d

• 3-d

• 3d

• d/3

• 3+d

the product of 9 and m

• 9-m

• 9m

• 9+m

• m/9