# Several algebra problems

2.

3.

4.

Find the coordinates of the x-intercept.

2x + y = -6

(-6, 0)

(0, -3)

(0, -6)

(-3, 0)

5.

6.

Janet invested $26,000, part at 6% and part at 3%. If the total interest at the end of the year is $1,080, how much did she invest at 6%?

$11,000

$10,000

$9,000

$16,000

7.

Find the domain and range of the relation, and state whether or not the relation is a function.

{(7, 2), (8, 2), (9, 2), (10, 2)}

Domain = {2}, Range = {7, 8, 9, 10}

The relation is not a function.

Domain = {2}, Range = {7, 8, 9, 10}

The relation is a function.

Domain = {7, 8, 9, 10}, Range = {2}

The relation is not a function.

Domain = {7, 8, 9, 10}, Range = {2}

The relation is a function.

8.

Find the y-intercept.

x + 4y = -4

(0, -1)

(-1, 0)

(0, -4)

(-4, 0)

9.

The amount of revenue a company makes per day by selling x items is given by the function f(x) = 14x - 0.2x2. How many items should be sold if the company wants to maximize their profit?

30 items

35 items

70 items

40 items

Question 10

11.

A tent is shaped like a pyramid. It has a square base measuring 8 feet on a side and a height of 6 feet. What is the volume of the tent?

128 ft3

16 ft3

512 ft3

32 ft3

12.

13.

Determine whether the system is consistent, inconsistent, or dependent.

3x + 2y = 15

6x + 4y = 30

Consistent

Dependent

Inconsistent

14.

Find the vertex of the parabola.

y = -4x2 - 16x - 11

(5, 2)

(2, 5)

(-2, 5)

(5, -2)

15.

Determine whether or not the relation is a function.

{(-3, 6), (-2, 7), (-1, 8), (0, 9)}

No

Yes

16.

.

17.

.

Find the coordinates of the x-intercept.

-x + 5y = -15

(-3, 0)

(0, 15)

(0, -3)

(15, 0)

18.

The owner of a deli wants to purchase at least 15 more pounds of oven-baked turkey than of roast beef. Write the constraint using t for pounds of turkey and r for pounds of roast beef.

t ³ r + 15

t > r + 15

t ³ r - 15

t £ r + 15

19.

Determine whether the system is consistent, inconsistent, or dependent.

3x - 3y = -9

9x - 9y = -27

Consistent

Dependent

Inconsistant

20..

Find the coordinates of the x-intercept.

-x + 5y = -15

(-3, 0)

(0, 15)

(0, -3)

(15, 0)

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#### Solution Summary

Step by step solutions to all the problems are provided.

Several algebra problems

Problem #1. Solve each equation show your work and check your answers.

0.6 = ─ 1.2 + X

Problem # 2

─ ỵ = ─ ⅓

Equations of the Form axb0

Solve each equation. Show your work and check your answer

Problem # 3

─ 1 ∕ 7z ─ 5 = 0

Equations of the Form axbcx d

Solve each equation.

Problem # 4

9y ─ 1 = 6y + 5

Please solve equation by first eliminating the decimal number.

Problem # 5

Problem: 0.07y + 0.08 ( y ─ 100) = 44.5

Solve the equation

Problem # 6

Problem: 3w∕ 5 ─ 1 = w ∕ 2 + 1

Please solve each formula for the special variable.

# 7

Problem: X ─ a = ─ X + a + 4b

Writing Algebraic Expressions:

# 8

Problem: Five divided by some number

# 9

Pair of numbers:

Write algebraic expressions for each pair of number.

Problem: Two numbers that differ by 9

# 10

Writing equations

Please identify the variable and write an equation that describes each situation, don't solve the problem.

Problem: The product of two consecutive even numbers is 168

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