1.Select the answer that best completes the given statement.

An equation in the form ax + b = 0, a ? 0, such as 3x + 17 = 0, is called a/an (1) equation in one variable.

(1)

linear

simple equivalent inconsistent

2.Select the answer that best completes the given statement.

The addition property of equality states that if a = b, then a + c = (1)

(1)

b.

b ? c. c.

b + c.

b + ac.

3.Select the answer that best completes the given statement.

The first step in solving 4 + 2(x ? 8) = 3x + 11 is to (1)

(1)

subtract 11 from both sides. subtract 4 from both sides. apply the distributive property. subtract 3x from both sides.

4.Select the answers that best complete the given statements.

In solving an equation, if you eliminate the variable and obtain a false statement such as 2 = 3, the equation is a/an

(1)equation.

The solution set can be expressed using the symbol (2)

(1)

linear dependent inconsistent

(2)0.

?.

1.

?.

5.Solve and check the linear equation.

6x + 7 = 19

The solution set is {}. (Simplify your answer.)

6.Solve and check the linear equation.

25 ? 5x = ? 25

The solution set is {}. (Simplify your answer.)

7.Solve and check the linear equation.

10x ? (7x ? 9) = 15

The solution set is {}. (Simplify your answer.)

8.Solve and check the linear equation.

4x + 2 = x + 11

The solution set is {}. (Simplify your answer.)

9.Solve and check the linear equation.

4(x ? 3) + 18 = 3(x + 4)

The solution set is {}. (Simplify your answer.)

10.Solve and check the linear equation.

9(x + 4) = 5[x ? (9 ? x)]

The solution set is {}. (Simplify your answer.)

11.Solve and check the linear equation.

11

5 (45x + 35) ? 1 = ? 4 (28x ? 8)

The solution set is. (Type an integer or a fraction.)

12.Solve the equation.

6x5x

5 = 4 + 4

The solution set is {}. (Simplify your answer. Type an integer or a fraction.)

13.Solve and check the linear equation.

x + 5

6

1

= 3 +

x ? 6

4

The solution set is {}. (Simplify your answer.)

14.Solve the equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation.

5(x + 5) = 5 + 5x

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The solution set is

B.

The solution set is ( ? ?,?).

C.The solution set is ?.

. (Use a comma to separate answers as needed.)

The equation is (1)

(1)

an identity.

a conditional equation. an inconsistent equation.

15.Solve the equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation.

5x + 17 = 14x + 17

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

6/30/2020 Unit 1 HW 1.4 Solving Linear Equations-Paul Djuma Instructor: Jennifer Jaksina Kumnick Course: MAT120_35_College Algebra_2020_21_TERM1 Student: Paul Djuma Date: 06/30/20 Assignment: Unit 1 HW 1.4 Solving Linear Equations 1. Select the answer that best completes the given statement. An equation in the form ax + b = 0, a 0, such as 3x + 17 = 0, is called a/an (1) (1) equation in one variable. linear simple equivalent inconsistent 2. Select the answer that best completes the given statement. The addition property of equality states that if a = b, then a + c = (1) (1) b. b + ac. b c. c. b+ c. 3. Select the answer that best completes the given statement. The first step in solving 4 + 2(x 8) = 3x + 11 is to (1) (1) subtract 11 from both sides. subtract 4 from both sides. apply the distributive property. subtract 3x from both sides. 4. Select the answers that best complete the given statements. In solving an equation, if you eliminate the variable and obtain a false statement such as 2 = 3, the equation is a/an (1) equation. The solution set can be expressed using the symbol (2) (1) linear (2) 0. dependent . inconsistent 1. . 5. Solve and check the linear equation. 6x + 7 = 19 The solution set is { }. (Simplify your answer.) https://xlitemprod.pearsoncmg.com/api/v1/print/math 1/ 6. Solve and check the linear equation. 25 5x = 25 The solution set is { }. (Simplify your answer.) 7. Solve and check the linear equation. 10x (7x 9) = 15 The solution set is { }. (Simplify your answer.) 8. Solve and check the linear equation. 4x + 2 = x + 11 The solution set is { }. (Simplify your answer.) 9. Solve and check the linear equation. 4(x 3) + 18 = 3(x + 4) The solution set is { }. (Simplify your answer.) 10. Solve and check the linear equation. 9(x + 4) = 5[x (9 x)] The solution set is { }. (Simplify your answer.) 11. Solve and check the linear equation. 1 5 1 (45x + 35) 1 = The solution set is 4 (28x 8) . (Type an integer or a fraction.) 12. Solve the equation. 6x 5 = 5x +4 4 The solution set is { }. (Simplify your answer. Type an integer or a fraction.) 13. Solve and check the linear equation. x+ 1 x6 5 = + 4 3 6 The solution set is { }. (Simplify your answer.) 14. Solve the equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 5(x + 5) = 5 + 5x Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is . (Use a comma to separate answers as needed.) B. The solution set is ( ,). C. The solution set is . The equation is (1) (1) an identity. a conditional equation. an inconsistent equation. 15. Solve the equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 5x + 17 = 14x + 17 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is ( ,). C. The solution set is . The equation is (1) (1) an identity. a conditional equation. an inconsistent equation. . (Use a comma to separate answers as needed.)