Algebraic Expressions 1 — Basic Algebra

Questions in this quiz (10)

1. A concert venue donates $$\$800$$ plus $$\$2$$ for every ticket sold over 500 tickets. Let $$t$$ represent the total number of tickets sold. If more than 500 tickets are sold, which expression can be used to find the total donation?

   • $$\$800+2t$$
   • $$\$800+2(500-t)$$
   • $$\$800+2(t-500)$$
   • $$800(500-t)$$

2. The sum of 5 times a number and 2 times a second number is divided by the sum of 7 and a third number. Which expression represents this situation?

   • $$\frac{5a+2b}{7+c}$$
   • $$5a+\frac{2b}{7+c}$$
   • $$\frac{5a-2b}{7b}$$
   • $$(5a+2b)\div7+c$$

3. The table shows two weekly pay options. $$ \begin{array}{c|c|c} \text{Option} & \text{Hourly Wage} & \text{Commission on Sales}\\ \hline A & \$8.00 & 2\%\\ B & \$7.00 & 4\% \end{array} $$ Jordan is paid under Option B. If $$h$$ represents the number of hours worked and $$s$$ represents total sales, in dollars, which expression represents Jordan's weekly pay?

   • $$7+h+0.04s$$
   • $$7h+0.04s$$
   • $$7s+0.04h$$
   • $$0.04hs$$

4. Simplify: $$5x+4+3x-9$$

   • $$8x+5$$
   • $$8x+13$$
   • $$2x-5$$
   • $$8x-5$$

5. Simplify: $$6x-2(2x-5)+7$$

   • $$2x-3$$
   • $$10x-3$$
   • $$2x+17$$
   • $$10x+17$$

6. Find the value of $$\frac{4x+y}{5}$$ when $$x=5$$ and $$y=10$$.

   • $$4$$
   • $$5$$
   • $$6$$
   • $$7$$

7. Find the value of $$8(x-1)+5$$ when $$x=4$$.

   • $$21$$
   • $$24$$
   • $$29$$
   • $$32$$

8. Find the value of $$2x^2+4(x-1)$$ when $$x=5$$.

   • $$58$$
   • $$66$$
   • $$70$$
   • $$74$$

9. Find the value of $$\frac{(a+b)^2}{3}-5$$ when $$a=3$$ and $$b=6$$.

   • $$20$$
   • $$22$$
   • $$24$$
   • $$27$$

10. Find the value of $$y^2+12-(y-4)^2$$ when $$y=6$$.

    • $$28$$
    • $$32$$
    • $$36$$
    • $$44$$