Grade 8 Algebra: Word Problems: Systems of Equations

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Costs, coins and comparing plans

1. Solve:
$\text{Adult}$ $\text{movie}$ $\text{tickets}$ $\text{cost}$ $\text{9}$ $\text{dollars}$ $\text{and}$ $\text{child}$ $\text{tickets}$ $\text{cost}$ $\text{6}$ $\text{dollars.}$ $\text{A}$ $\text{family}$ $\text{buys}$ $\text{8}$ $\text{tickets}$ $\text{for}$ $\text{60}$ $\text{dollars.}$ $\text{How}$ $\text{many}$ $\text{of}$ $\text{each?}$
2. Solve:
$\text{One}$ $\text{gym}$ $\text{charges}$ $\text{20}$ $\text{dollars}$ $\text{plus}$ $\text{5}$ $\text{dollars}$ $\text{per}$ $\text{visit.}$ $\text{Another}$ $\text{charges}$ $\text{9}$ $\text{dollars}$ $\text{per}$ $\text{visit.}$ $\text{After}$ $\text{how}$ $\text{many}$ $\text{visits}$ $\text{is}$ $\text{the}$ $\text{cost}$ $\text{the}$ $\text{same,}$ $\text{and}$ $\text{what}$ $\text{is}$ $\text{it?}$
3. Solve:
$\text{Leo}$ $\text{has}$ $\text{15}$ $\text{dimes}$ $\text{and}$ $\text{quarters}$ $\text{worth}$ $\text{2.25}$ $\text{dollars.}$ $\text{How}$ $\text{many}$ $\text{of}$ $\text{each}$ $\text{coin?}$
4. Solve:
$\text{Three}$ $\text{coffees}$ $\text{and}$ $\text{two}$ $\text{muffins}$ $\text{cost}$ $\text{13}$ $\text{dollars.}$ $\text{One}$ $\text{coffee}$ $\text{and}$ $\text{two}$ $\text{muffins}$ $\text{cost}$ $\text{7}$ $\text{dollars.}$ $\text{Find}$ $\text{the}$ $\text{price}$ $\text{of}$ $\text{each.}$
5. Solve:
$\text{A}$ $\text{test}$ $\text{has}$ $\text{20}$ $\text{questions}$ $\text{worth}$ $\text{2}$ $\text{or}$ $\text{5}$ $\text{points}$ $\text{each,}$ $\text{for}$ $\text{64}$ $\text{points}$ $\text{in}$ $\text{all.}$ $\text{How}$ $\text{many}$ $\text{of}$ $\text{each}$ $\text{type?}$
6. Solve:
$\text{One}$ $\text{taxi}$ $\text{charges}$ $\text{3}$ $\text{dollars}$ $\text{plus}$ $\text{2}$ $\text{dollars}$ $\text{per}$ $\text{mile.}$ $\text{Another}$ $\text{charges}$ $\text{6}$ $\text{dollars}$ $\text{plus}$ $\text{1.5}$ $\text{dollars}$ $\text{per}$ $\text{mile.}$ $\text{For}$ $\text{how}$ $\text{many}$ $\text{miles}$ $\text{is}$ $\text{the}$ $\text{cost}$ $\text{equal,}$ $\text{and}$ $\text{what}$ $\text{is}$ $\text{it?}$
7. Solve:
$\text{Two}$ $\text{numbers}$ $\text{differ}$ $\text{by}$ $\text{9.}$ $\text{Twice}$ $\text{the}$ $\text{larger}$ $\text{plus}$ $\text{the}$ $\text{smaller}$ $\text{is}$ $\text{33.}$ $\text{Find}$ $\text{the}$ $\text{numbers.}$
8. Solve:
$\text{Two}$ $\text{apples}$ $\text{and}$ $\text{three}$ $\text{bananas}$ $\text{cost}$ $\text{4.50}$ $\text{dollars.}$ $\text{Four}$ $\text{apples}$ $\text{and}$ $\text{one}$ $\text{banana}$ $\text{cost}$ $\text{4}$ $\text{dollars.}$ $\text{Find}$ $\text{the}$ $\text{price}$ $\text{of}$ $\text{each.}$