Question

this review packet is intended to highlight various algebra 1 skills that serve as a foundation for success in geometry class. this review does not address all algebra 1 skills that a student is expected to be able to perform. note: work should be completed in your notebook, allowing you to copy the problem and show all your work. do not try to squeeze your work where it does not fit in a neat and organized fashion. work that is illegible and/or unorganized will not earn credit. order of operations - pemdas parentheses (grouping symbols) exponents multiply or divide, from left to right add or subtract, from left to right (7 - 4)^2+3+15 = 3^2 + 3+15 = 9 + 3+15 = 12 + 15 (9 - 7)^2+6 / 11 - 6 = 2^2+6 / 5 = 4 + 6 / 5 = 10 / 5 = 2 evaluate the following expressions 1) 8(3 + 4)-2×8÷(5 - 3) 2) (8^2+(13 - 4)^2)÷5 3) 4×16 + 8 - 0÷5 4) 94 - 87 5) - 51 - 98 6) - 10×(-2×18) 7) 844÷4 8) 3/4+1/3 9) 5/8+1/8 10) 11/4+5/12 11) 6.25 + 1.2 12) insert parenthesis to make the following true: 8 + 12÷4×5 = 1 13) - 3^2 14) (-3)^2 15) -(4)^2/-6^2

Explanation:

Step1: Solve 1)

Calculate within parentheses

$8(3 + 4)-2\times8\div(5 - 3)=8\times7-2\times8\div2$

Multiply and divide

$=56 - 8$

Subtract

$=48$

Step2: Solve 2)

Calculate within parentheses

$(8^{2}+(13 - 4)^{2})\div5=(64 + 81)\div5$

Add within parentheses

$=145\div5$

Divide

$=29$

Step3: Solve 3)

Multiply and divide

$4\times16+8 - 0\div5=64+8-0$

Add and subtract

$=72$

Step4: Solve 4)

$94 - 87 = 7$

Step5: Solve 5)

$-51-98=-149$

Step6: Solve 6)

Calculate within parentheses

$-10\times(-2\times18)=-10\times(-36)$

Multiply

$=360$

Step7: Solve 7)

$844\div4 = 211$

Step8: Solve 8)

Find common - denominator

$\frac{3}{4}+\frac{1}{3}=\frac{9}{12}+\frac{4}{12}$

Add

$=\frac{13}{12}$

Step9: Solve 9)

$\frac{5}{8}+\frac{1}{8}=\frac{5 + 1}{8}=\frac{6}{8}=\frac{3}{4}$

Step10: Solve 10)

Find common - denominator

$\frac{11}{4}+\frac{5}{12}=\frac{33}{12}+\frac{5}{12}$

Add

$=\frac{38}{12}=\frac{19}{6}$

Step11: Solve 11)

$6.25+1.2 = 7.45$

Step12: Solve 12)

$(8 + 12)\div(4\times5)=20\div20 = 1$

Step13: Solve 13)

$-3^{2}=-9$

Step14: Solve 14)

$(-3)^{2}=9$

Step15: Solve 15)

Calculate numerator and denominator

$\frac{-(4)^{2}}{-6^{2}}=\frac{-16}{-36}=\frac{4}{9}$

Answer:

1. 48
2. 29
3. 72
4. 7
5. -149
6. 360
7. 211
8. $\frac{13}{12}$
9. $\frac{3}{4}$
10. $\frac{19}{6}$
11. 7.45
12. $(8 + 12)\div(4\times5)=1$
13. -9
14. 9
15. $\frac{4}{9}$