Explanation:
To evaluate an algebraic expression, you replace the variable with the number given and then do the math.
Let’s go through each one step by step:
1. $-4 - 8f$, if $f = -6$
Replace $f$ with $-6$:
$-4 - 8(-6)$
Multiply: $-4 + 48 = 44$
2. $7n - 2$, if $n = -8$
Replace $n$ with $-8$:
$7(-8) - 2 = -56 - 2 = -58$
3. $-4 + 4r$, if $r = -5$
Replace $r$ with $-5$:
$-4 + 4(-5) = -4 - 20 = -24$
4. $-4r + 9$, if $r = 3$
Replace $r$ with $3$:
$-4(3) + 9 = -12 + 9 = -3$
5. $8 + 3z$, if $z = -2$
Replace $z$ with $-2$:
$8 + 3(-2) = 8 - 6 = 2$
6. $\frac{15}{d} - 2$, if $d = -5$
Replace $d$ with $-5$:
$\frac{15}{-5} - 2 = -3 - 2 = -5$
7. $-8c + 6$, if $c = 3$
Replace $c$ with $3$:
$-8(3) + 6 = -24 + 6 = -18$
8. $-7 + 3s$, if $s = -4$
Replace $s$ with $-4$:
$-7 + 3(-4) = -7 - 12 = -19$
9. $9 - 2h$, if $h = -4$
Replace $h$ with $-4$:
$9 - 2(-4) = 9 + 8 = 17$
10. $19 - \frac{21}{h}$, if $h = -3$
Replace $h$ with $-3$:
$19 - \frac{21}{-3} = 19 - (-7) = 19 + 7 = 26$
Final Answer:
44, -58, -24, -3, 2, -5, -18, -19, 17, 26
Parent Tip: Review the logic above to help your child master the concept of algebraic expressions worksheet 7th grade.
