Linear Equations (Foundations)

Core skills for this exam family.

Phase 2 · SAT Math

Linear Equations: core idea

ax=b \Rightarrow x=b/a

Solve $4x+7=31$ .

Hint: Subtract 7, then divide by 4. Answer: 6.

1. What is the $y$ -intercept of $y=-3x+8$ ?
2. A gym charges a $15$ dollar signup fee plus $9$ dollars per visit. Which expression gives the cost of $v$ visits?
3. The line through $(2,5)$ and $(6,13)$ has what slope?
4. If $3a-2b=18$ and $b=3$ , find $a$ .
5. Solve the inequality $5-2x>11$ .
6. For what value of $k$ are $2x+k=14$ and $2x+6=14$ equivalent?
7. A taxi traveled $126$ miles in $3$ hours at a constant rate. What was its rate in miles per hour?
8. Rewrite $7(x-2)+3x$ in the form $ax+b$ . What is $a$ ?
9. The table has $x: 1,2,3$ and $y: 9,13,17$ . What is the rate of change?