Quiz about Two-Step Equation Review

Question 1

$$15=2a+7$$

Accepted Answer

$$4$$

Answer

$$2$$

Answer

$$12$$

Answer

$$14$$

Question 2

Which equation represents the situation below?

A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which equation could be used to find x, the number of days the van could be rented, if they want to spend exactly $760.00 on the van rental?

Accepted Answer

$$75x+160=760$$

Answer

$$75+160x=760$$

Answer

$$75x-160=760$$

Answer

$$75-160x=760$$

Question 3

Which equation represents the situation below?

The water temperature in the swimming pool was 48 degrees, and it is rising 2 degrees each hour. If the water temperature is now 60 degrees, then how many hours have passed?

Accepted Answer

$$2x+48=60$$

Answer

$$2x-48=60$$

Answer

$$48x-2x=60$$

Answer

$$48x+2x=60$$

Question 4

Which equation represents the situation below?

The Gonzales family has three children. On summer break, they went to an amusement park. They bought 3 child tickets for $18.50 and 2 adult tickets. If they spent a total of $104.50, how much was the price of each adult ticket?

Accepted Answer

$$18.50+2x=104.50$$

Answer

$$2x+3\left(18.50\right)=104.50$$

Answer

$$18.50x+2x=104.50$$

Answer

$$2x-18.50=104.50$$

Question 5

Solve.

$$-27=-\frac{1}{4}\left(-36+x\right)$$

Accepted Answer

$$x=144$$

Answer

$$x=-72$$

Answer

$$x=6$$

Answer

$$x=-9$$

Question 6

Ms. Calvert is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $6 for each child ticket. Ms. Calvert spends $46.00 at the movies. Which of the following is an equation and solution that represents the number of children tickets, x, that Ms. Calvert purchased?

Accepted Answer

$$6x+10=46;\ x=6$$

Answer

$$10x+6=46;\ x=4$$

Answer

$$6x+10=46;\ x=9.33$$

Answer

$$\frac{x}{6}+10=46;\ x=216$$

Question 7

Which equation represents the situation below?

A tenant is charged $850 for rent on the 5th of the month. For every day they are early, they can deduct $15 from their rent. The tenant pays $805. How many days early did they pay rent?

Accepted Answer

$$850-15x=805$$

Answer

$$805-15x=850$$

Answer

$$15x-850=805$$

Answer

$$15x-805=850$$

Question 8

Solve for x.

Accepted Answer

$$x=168$$

Answer

$$x=56$$

Answer

$$x=\frac{8}{7}$$

Answer

$$x=\frac{24}{7}$$

Question 9

Solve.

$$-13x-19=-123$$

Accepted Answer

$$8$$

Answer

$$-11$$

Answer

$$11$$

Answer

$$-8$$

Two-Step Equation Review

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