Solving Multistep Equations

Solve the equation a =m–n

for the variable n.

• n=a+ m

• ​n=a–m

• n=m–a

• n=–m–a

Tags

CCSS.HSA.REI.B.3

Which of the equations shown have infinitely many solutions? Select all that apply.

• 3x– 1 = 3x+ 1

• 2x– 1 = 1 – 2x

• 3x– 2 = 2x– 3

• 3(x– 1) = 3x– 3

• ​2x+ 2 = 2(x+ 1)

Tags

CCSS.8.EE.C.7A

Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked. Write and solve an equation to find the number of miles m for which Tonya and Beth would charge the same amount.

What is the value of x in the equation 4x – 2(x+ 3) = 8?

• x=1

• x=2.5

• x=3.5

• x=7

Tags

CCSS.8.EE.C.7B

Six friends all use $2-off coupons to buy themselves movie tickets. They spend a total of $42. What is the price of one movie ticket without the coupon?

• $5

• $7

• $9

• $11

Tags

CCSS.7.EE.B.4A

The sum of two consecutive even integers is 74. What are the two numbers?

Tags

CCSS.8.EE.C.7B

 $-2v\ +\ v\ =\ 3$  

• 4

• $-5$

• $-3$

• 5

Tags

CCSS.7.EE.B.4A

 $96=6\left(k+8\right)$  

•  $12$  

•  $8$  

•  $-4$  

•  $9$  

Tags

CCSS.7.EE.B.4A

 $97=-3\left(6n-5\right)-8$  

•  $-10$  

•  $16$  

•  $-5$  

•  $-2$  

Tags

CCSS.8.EE.C.7B

4 = 2(x + 3)

• 1/2
• 7/2
• -1
• 5

Tags

CCSS.7.EE.B.4A