Review: Solve Problems Using Equations & Inequalities

The total number of students in 7th grade is 9 more than 4 times as many students as are in the art class. There are 101 students in 7th grade. Which equation represents the number of students in the art class.

• $4x+9=101,\ x\ =\ 23$

• $4x\ -\ 9\ =\ 101,\ x\ =\ 27.5$

• $9x\ +\ 4\ =\ 101,\ x\ =\ 10.78$

• $9x\ -\ 4\ =\ 101,\ x\ =\ 11.67$

Tags

CCSS.HSA.CED.A.3

 $5x\ -\ 6\ =\ 44$  

• x = 5

• x = 10

• x = -5

• x = -10

Tags

CCSS.7.EE.B.4A

 $4y+3=19$  

• y = 5.5
  

• y = 7.75

• y = 4

• y = 2

Tags

CCSS.7.EE.B.4A

There are 450 seats in the lower level of a concert hall with b balcony seats in the upper level. So far 170 tickets have been sold, which is $\frac{1}{5}$ of the total number of seats in the concert hall.  Which of these equations represents the balcony seats sold?  How many tickets sold are balcony seats?

•  $5\left(450+x\right)=170;\ b\ =\ 146$  

•  $5\ \left(450\ -\ b\right);\ b\ =\ 416$  

•  $\frac{1}{5}\left(450\ -\ b\right)\ =\ 170;\ b\ =\ 200$  

•  $\frac{1}{5}\left(450\ +\ b\right)\ =\ 170;\ b\ =\ 400$  

Tags

CCSS.HSA.CED.A.3

Solve the equation:

 $-4\left(8+y\right)=90$  

• y = 16.8

• y = 15.5

• y = 30.5

• y = 21.5

Tags

CCSS.7.EE.B.4A

Carlson wheelbarrow can hold 345 pounds. If he has 121 pounds of rock in the wheelbarrow, what number of pounds, p, can he put in the wheelbarrow without going over the weight limit?

 $d\ +\ 121\ \le345$  

•  $p\ \le222$  

•  $p\ \le224$  

•  $p\ge273$  

•  $p\ \ge184$  

Tags

CCSS.7.EE.B.4B

Solve:

 $x\ -19<\ 81$  

• x > 62

• x < 62

• x > 100

• x < 100

Tags

CCSS.7.EE.B.4B

Travis has 3 months to save money for a trip. An airplane ticket costs more than $300. If he saves the same amount of money, a, each month, how much he need to save each month to pay for the ticket?

• 3 + a > $300, a > $293

• 3a > $300; a > $100

• $\frac{a}{3}>300;\ a\ >\ 900$

• $\frac{a}{3}<300;\ a\ <\ 900$

Solve:

 $-\frac{1}{8}y\ \le34$ 

• 
• 
• 
• 

Tags

CCSS.6.EE.B.8

The school band gets $5 for each T-shirt they sell at the fundraiser. They have a goal of raising $150. If $145 has been raised so far, how many more T-shirts do they have to sell to reach or exceed the goal?

• $5x\ +\ 45\ \ge\ 150;\ x\ \ge\ 21$
  At least 21 T-shirts.

• $5x\ -\ 45\ \ge\ 150;\ x\ge39$
  At least 39 T-shirts.

• $5\left(x-\ 45\right)\ \ge150;\ x\ \ge95$
  At least 95 T-shirts

• $45\ -\ 5x\ \ge150;\ x\ \le15$
  At most 15 T-shirts