One- & Two-Step Equations Unit Test

negative 3.2x equals 0.64 and Start Fraction x over 4 End Fraction equals negative 0.05

Which of the following can be represented by the equation 3x = 24 ?(1 point)

Responses

Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this?
Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this?

The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost?
The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost?

A survey was conducted to determine the favorite subject of seventh grade students. One-third of all surveyed, or 24 students, said math is their favorite subject. How many students were surveyed?
A survey was conducted to determine the favorite subject of seventh grade students. One-third of all surveyed, or 24 students, said math is their favorite subject. How many students were surveyed?

Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?

The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost?

The temperature dropped by 12° in 5 hours. The temperature dropped the same amount every hour. Complete the equation that represents the amount of change, x , of temperature every hour and solve this equation.(1 point)

5x=

The temperature decreased by ° every hour.

The temperature dropped by 12° in 5 hours, so we can represent the amount of change, x , of temperature every hour as 12/5 or -2.4°.

Therefore, the equation that represents the amount of change, x , of temperature every hour is:
5x = -12

Solving this equation by dividing both sides by 5, we get:
x = -12/5 or -2.4

So, the temperature decreased by 2.4° every hour.

Which of the following equations has a solution of −7 ?(1 point)

Responses

4x−23=5
4 x minus 23 equals 5

−3x−8=−29
negative 3 x minus 8 equals negative 29

5x+11=−24
5 x plus 11 equals negative 24

−x+3=−4

−x+3=−4

Which of the following equations has a solution different from the rest? (1 point)

Responses

−0.35x−0.52=1.93
negative 0.35 x minus 0.52 equals 1.93

12x−3=12
Start Fraction 1 over 2 End Fraction x minus 3 equals Start Fraction 1 over 2 End Fraction

−17x−34=14
negative Start Fraction 1 over 7 End Fraction x minus Start Fraction 3 over 4 End Fraction equals Start Fraction 1 over 4 End Fraction

34x+5=−14

−0.35x−0.52=1.93

Lindsay practices the guitar 50 minutes on Saturday and 30 minutes on most weekdays. Last week she practiced 140 minutes. How many weekdays did she practice? Write an equation in the form px+q=r to represent this problem.(2 points)

x + =

Let's assume that Lindsay practices on x weekdays.

Since she practices 30 minutes on most weekdays, the total time she practices on weekdays is 30x.

Adding the 50 minutes she practices on Saturday, the total time she practices in a week is 30x + 50.

According to the problem, Lindsay practiced for 140 minutes last week.

We can write the equation in the form px + q = r as:
30x + 50 = 140

So, the equation representing this problem is 30x + 50 = 140.