Intro to Algebra Review

Translating Expression

100

The sum of twice a number and 8

2n + 8

200

The difference between 7 and y is 24

7 - y = 24

300

25 minus the sum of a number and 17

15 - n + 17

400

12 less than the product of t and 8 is 90

8t - 12 = 90

500

the quotient of a number and 7 plus the product of g and 9

n/7 + 9g

Evaluating Equations

100

abc

Use a=6, b=8, c=2

96

200

x/5 + 2 - y

Use x=5, y=-4

7

300

xy + z^y - 30

use x=3, y=2, z=7

25

400

(j²+4k)/3

Use j=3, and k=3

7

500

(p+r)² - (p+r/2) 

^{Use P = 4, and r = 2} 

31

Properties

100

Classify each as commutative (C), associative (A), or distributive (D).

2 x (5 x 1) = (2 x 5) x 1

Associative (A)

200

Classify each as commutative (C), associative (A), or distributive (D).

x(y + z) = xy + xz

Distributive (D)

300

Rewrite using the commutative property:

9 + 3

3 + 9

400

Rewrite using the distributive property:

12( r + s)

12r + 12s

500

Rewrite using the associative property:

(2 + 9) + 11

2 + (9 + 11)

Simplifying expressions

100

4n - 3n + 7m

n + 7m

200

6y² + 8y - 10y² - 12y

-4y - 4y²

300

9p + 5 - p

8p + 5

400

9t - 13t + t - 9

-3t - 9

500

xy + 7xy - 9y - 3x + y + 4xy

12xy - 8y - 3x

Order of operations

100

7 + (6 × 2³-3)

52

200

2³+7²+8(4-3+2)

81

300

(3 x 2²+6/3) - 6 + 4

12

400

5 x (7-3+2²)

5 x (7-3+4)

5 x (4+4)

5 x 8 = 40       Is it correct or incorrect? Why?

Correct!

500

4+3-6(2²+1)

1(2²+1)

1(5)

=5              Is the answer correct or incorrect? Why?

Incorrect because according to GEMDAS, Parenthesis would come first followed by multiplication. Should be 4+3-6(5) after solving in the parenthesis.