Easy Algebra Step-by-Step

72 Easy Algebra Step-by-Step

Problem Simplify 2 ()x 5.

Solution

Step 1. Apply the distributive property.

2 ()x 5

=⋅ 22 ⋅x+ 5

= 21 x+ 0

Exercise 6

1. Name the variable(s) and constant(s) in the expression 2 ππr, where r is the
   measure of the radius of a circle.

For 2–4, state the numerical coeffi cient of the variable.

2. − 12 y


3. z
   4.^2
   3

x

For 5–12, fi nd the value of the algebraic expression when x = 9, y = − 2 , and z = − 3.

5. − 5 x


6. 2xyz

7.

6

51 x 0

()x^1

8.

− ()−

−+

25 +

6 3

y+ (^5) (
zy+

9. xx^289 xx


10. 2 yx+x()yzy−

11.

xy

()xy+

2

(^22) y

12. ()yz+ −^3

For 13–15, fi nd the variable using the formula given.

13. Find A when b = 12 and h = 8 using the formula Abh

1

2

.

14. Find V when r = 5 and h = 18 using the formula Vrh

1

3

π^2. Use

π= 31144.

15. Find c when a = 8 and b = 15 using the formula ca^22 aa^2 +b^2.

(^2) ()x 55 ≠+ 2522 x. You must
multiply the 5 by 2 as well.