Algebra

Chief Editor

Mar 28, 2024

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Take all 3 MCQs in interactive quiz mode with timer and progress tracking

Tom scored 85, 78, and 98 on his first three exams in history class. Solving which inequality gives the score, $G$, on Tom's fourth exam that will result in a mean score on all four exams of at least 90 ?

Difficulty: Easy

90-(85+78+98)\leq 4G

4G+85+78+98\geq 360

\dfrac{(G+85+78+98)}{4} \geq 90

\dfrac{(85+78+98)}{4}\geq 90-4G

In the system of equations below, $a$ and $c$ are constants.$$\frac{1}{2}x+\frac{1}{3}y=\frac{1}{6} \\ ax+y=c$$If the system of equations has an infinite number of solutions $(x,y)$, what is the value of $a$?

Difficulty: Hard

-\dfrac{1}{2}

$0$

\dfrac{1}{2}

-\dfrac{3}{2}

Sean rents a tent at a cost of $\$11$ per day plus a one-time insurance fee of $\$10$. Which equation represents the total cost $c$, in dollars, to rent the tent with insurance for $d$ days?

Difficulty: Easy

$c=11(d+10)$

$c=10(d+11)$

$c=11d+10$

$c=10d+11$