Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Solving Equations with Rational Numbers

Video

07:59

Sample Question Videos

Worksheet • 18 Questions • 2 Videos

Q1:

Determine the value of π‘₯ , given that π‘₯ βˆ’ 1 1 7 = 5 1 7 .

  • A 6 1 7
  • B 1 7 6
  • C βˆ’ 1 7 6
  • D βˆ’ 6 1 7

Q2:

If π‘₯ + 1 8 8 = 1 8 4 , then find the value of π‘₯ .

Q3:

Solve βˆ’ 5 7 π‘₯ = 1 7 .

  • A βˆ’ 1 5
  • B βˆ’ 5
  • C5
  • D 7 6
  • E 6 7

Q4:

1 5 1 9 Γ· = 1 4 1 9 .

  • A 1 1 1 4
  • B 2 1 0 3 6 1
  • C 1 1 5 1 2 1 0
  • D 1 4 1 5

Q5:

1 6 Γ· 4 β‹― = 1 2 .

  • A12
  • B2
  • C1
  • D4

Q6:

If 1 7 the number of eggs in a basket is 4 eggs, then the whole basket has eggs.

Q7:

Which of the following equations is equivalent to 2 3 π‘₯ + 1 1 3 = 4 ?

  • A 2 π‘₯ + 1 1 = 1 2
  • B 6 π‘₯ + 3 3 = 4
  • C 2 π‘₯ + 1 1 = 4
  • D 6 π‘₯ + 1 1 = 1 2
  • E 6 π‘₯ + 3 3 = 1 2

Q8:

1 4 2 3 Γ— = 1 .

  • A 3 4 4
  • B 1 4 2 3
  • C 3 4 1
  • D 1 3 2 3

Q9:

2 4 4 4 Γ· 8 β‹― = 1 1 2 .

  • A22
  • B2
  • C3
  • D42

Q10:

Fill in the blanks.

  • A8, 8, 9
  • B8, 8, 10
  • C10, 9, 9
  • D8, 9, 10

Q11:

A truck traveled 220 miles in 7 1 3 hours. On average, how many miles per hour did it travel?

  • A 30 mph
  • B 9 4 2 7 mph
  • C 1 3 0 mph
  • D 3 1 3 7 mph
  • E 660 mph

Q12:

Bassem drove for 5 1 5 hours at 79 miles per hour. About how many miles did he drive?

  • A 400 mi
  • B 320 mi
  • C 480 mi
  • D 450 mi
  • E 350 mi

Q13:

Solve the following equation: 1 . 5 π‘₯ = βˆ’ 4 7 .

  • A π‘₯ = βˆ’ 8 2 1
  • B π‘₯ = βˆ’ 2 5 8
  • C π‘₯ = 8 2 1
  • D π‘₯ = 6 7
  • E π‘₯ = βˆ’ 6 7

Q14:

Two students tried to solve the equation π‘₯ + 1 2 = βˆ’ 7 8 . The first student added 1 2 to both sides, while the second subtracted 1 2 from both sides. Determine which student was correct, and then solve for the variable.

  • Athe second student, π‘₯ = βˆ’ 1 1 8
  • Bthe first student, π‘₯ = βˆ’ 3 8
  • Cthe first student, π‘₯ = βˆ’ 1 1 8
  • Dthe second student, π‘₯ = βˆ’ 3 8

Q15:

When 4 π‘₯ βˆ’ 1 3 is added to π‘₯ + 2 3 , the answer is 0. What is the value of π‘₯ ?

  • A βˆ’ 1 1 5
  • B 2 3
  • C 1 3
  • D βˆ’ 4 1 5
  • E 2 1 5

Q16:

Solve 2 𝑧 + 1 2 = 5 for 𝑧 .

  • A 2 1 4
  • B 1 1 4
  • C 2 3 4
  • D5
  • E 5 2

Q17:

Sally rode the bus to work today. She travelled miles and, due to bad traffic, it took of an hour. Solve the equation to find the average speed of the bus.

  • A mph
  • B mph
  • C mph
  • D mph
  • E mph

Q18:

Which of the following equations is equivalent to 8 9 π‘₯ + 2 5 = 1 3 1 5 ?

  • A 4 0 π‘₯ + 1 8 = 3 9
  • B 4 0 π‘₯ + 1 8 = 6 5
  • C 4 0 π‘₯ + 6 = 3 9
  • D 4 0 π‘₯ + 1 0 = 3 9
  • E 4 0 π‘₯ + 1 0 = 6 5
Preview