Word Problems and Equations

Word Problems and Equations

10/1 and 10/2

Multiple Choice

What is the solution of 9 + k = 18

• 18

• 9

• 8

• 7

Multiple Choice

The steps in solving 5b - 6 = 24 are:

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

Multiple Choice

Solve:

3(x - 2) = 18

• 6.7

• 4

• 8

• -4

Multiple Choice

In Jason's scenario, what would be the variable?

• cost of the soft drink

• cost of the candy bar

Multiple Select

What operations would we need for the equation given the key words of : total, and, how much

(Choose all that apply)

• add

• subtract

• equal

• multiply

Multiple Choice

Which one of these would be final equation for Jason's scenario?

• 5 + 2x = 17

• 2 - 5x = 17

• 17 +5x = 2

• 2 + 5x = 17

Fill in the Blanks

Now solve the equation for the cost of one candy bar.

 $2\ +5x\ =\ 17$  

Jeremy needs to rent a moving truck. Company A charges $40 a day, and Company B charges $20 a day plus a $60 one-time fee. For what number of days with the cost of both moving trucks be the same?

Multiple Choice

Using Jeremy's scenario, what would be the variable for this situation?

• number of days

• cost of the moving truck

Jeremy needs to rent a moving truck. Company A charges $40 a day, and Company B charges $20 a day plus a $60 one-time fee. For what number of days with the cost of both moving trucks be the same?

Variable- number of days

Multiple Select

Looking at the key words in Jeremy's scenario, what some of the operations involved be?

• multiplication

• equal

• addition

• divide

Multiple Choice

Which equation best matches Jeremy's scenario?

• $40d\ +\ 60\ =\ 20d$

• $40d\ =\ 20d\ +60$

• $40d\ -\ 60\ =\ 20d$

Fill in the Blanks

What is the final answer for how many days it would take for the 2 moving trucks to cost the same amount?

 $40d\ =\ 20d\ +\ 60$  

Multiple Choice

What is the variable in Dan's situation?

• baseball cards

• his dog

• eating

Read the problem again to look for key words to determine what operations will be needed.

Multiple Select

In Dan's situation, what operations do you need to use? Check all that apply.

• add

• subtract

• multiply

• divide

• equal

How could we write the final equation?

Multiple Choice

Which equation best represents Dan's baseball cards?

• $x\ +\ 8\ \div2\ =\ 32$

• $x\ +\frac{8}{2}=32$

• $\frac{\left(x+8\right)}{2}\ =\ 32$

Fill in the Blanks

Now find how many baseball cards Dan started with originally using the equation.

 $\frac{\left(x\ +8\right)}{2}=\ 32$  

Mixed Review!

Multiple Choice

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35

• .50x - 20 = 35

Multiple Choice

In this soccer season, Emma has scored 1 more than twice the number of Nick's goals. If Emma has scored 15 goals, which equation can be used to find x, the number of Nick's goals?

• x - 15 = 1

• x + 1 = 15

• 2x + 1 = 15

• x + 1 = x + 15

Multiple Choice

Look at the work. What was done incorrectly?

• Don't divide by 2 first
• Don't add 7 to both sides
• It's correct!
• They should have subtracted 7

Multiple Choice

A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?

• 18 miles
• 20 miles
• 22 miles

Multiple Choice

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15
• 2x + 5=15
• x + 2(5) = 15
• 2(x + 5) = 15

Multiple Choice

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472
• 9x=472
• 4+9x=472
• 4+x=472