Linear Equations 1 — Basic Algebra

Questions in this quiz (10)

1. Solve: $$x-38=54$$

   • $$16$$
   • $$92$$
   • $$-16$$
   • $$102$$

2. Solve: $$\frac{x}{5}=14$$

   • $$9$$
   • $$19$$
   • $$70$$
   • $$75$$

3. The table shows the hours worked by Luis Carter and Emma Brooks. Luis and Emma worked a total of 76 hours during Week 1. Let $$x$$ represent Emma's hours during Week 1. Which equation can be used to solve for Emma's hours?

   • $$x-42=76$$
   • $$x+76=42$$
   • $$x+42=76$$
   • $$x-76=42$$

4. Emma worked twice as many hours as Luis during Week 4. Emma worked 44 hours. Let $$y$$ represent Luis's hours during Week 4. Which equation can be used to solve for Luis's hours?

   • $$\frac{y}{2}=44$$
   • $$44y=2$$
   • $$2y=44$$
   • $$\frac{1}{2}y=22$$

5. A number divided by 6 is 15. What is the number?

   • $$9$$
   • $$21$$
   • $$90$$
   • $$120$$

6. The solution $$x=8$$ makes which equation true?

   • $$x-3=2$$
   • $$\frac{x}{4}=1$$
   • $$x+5=10$$
   • $$7x=56$$

7. Sarah had $$\$845.60$$ in her savings account. After buying a laptop, she had $$\$512.35$$ remaining. Which equation can be used to find the cost of the laptop, $$c$$?

   • $$845.60+c=512.35$$
   • $$845.60-c=512.35$$
   • $$845.60c=512.35$$
   • $$\frac{845.60}{c}=512.35$$

8. Solve: $$-5(x-4)=3x$$

   • $$x=\frac{20}{8}$$
   • $$x=\frac{20}{3}$$
   • $$x=-\frac{20}{8}$$
   • $$x=8$$

9. The product of a number and 8 is 36 more than three times the number. What is the number?

   • $$6$$
   • $$7.2$$
   • $$8$$
   • $$9$$

10. Five times a number decreased by 4 is 20 more than twice the number. Let $$x$$ represent the unknown number. Which equation could be used to find the value of $$x$$?

    • $$5x-4=2x+20$$
    • $$5(x-4)=2(20+x)$$
    • $$5x+4=20-2x$$
    • $$5(4x)=2(20x)$$