Download Unit 2 Problem Set

10/5/2016
Unit 2 Problem Set­Amanda Unklesay
Student: _____________________
Date: _____________________
Instructor: Amanda Unklesay
Course: FM3 ­ 4th Period
Assignment: Unit 2 Problem Set
*1. Solve the equation.
− 4y + 4 = − 4(2y + 3)
y=
(Type an integer or a simplified fraction.)
*2. Solve the equation.
15x − 3 = 27x + 5
x=
(Type an integer or a simplified fraction.)
*3. Solve the equation.
4(3y − 1) − 3(2y) = 12
y=
(Type an integer or a simplified fraction.)
*4. Solve the equation for x.
− 5(x − 7) + 5 = 40
x=
(Type an integer or a fraction. Simplify your answer.)
*5. Solve the equation.
13 − 2(a − 1) = 12 + a
a = (Type an integer or a fraction. Simplify your answer.)
*6. Solve.
6(x − 11)
5
=
5(x + 11)
6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x =
(Simplify your answer.)
B. The solution is all real numbers.
C. There is no solution.
*7. Solve the equation for x.
2
9
x = x−
1
3
= −1
(Type an integer or a fraction. Simplify your answer.)
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10/5/2016
Unit 2 Problem Set­Amanda Unklesay
*8. Solve the equation for x.
2x + 7 = 2(x − 5)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x =
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
C. There is no solution.
*9. Solve the equation for x.
3(6x + 1) + 8 = 18x + 11
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x =
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
C. There is no solution.
*10. Solve the equation for z .
4z +
z = 5
9
= 5z +
4
9
(Type an integer or a simplified fraction.)
*11. Solve the inequality. Graph the solution set and write it in interval notation.
8x − 2 ≤ 10x − 4x
Choose the correct graph below.
A.
1
B.
1
0
C.
0
1
0
D.
1
0
Write the answer in interval notation.
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10/5/2016
Unit 2 Problem Set­Amanda Unklesay
*12. Solve the inequality. Graph the solution set and write it in interval notation.
3x − 5 < 7(x + 1)
Choose the correct graph below.
A.
B.
­3
­3
0
C.
0
D.
­3
­3
0
0
Write the answer in interval notation.
*13. Solve the inequality. Graph the solution set and write it in interval notation.
− 4x + 2 ≥ 2(3 − x)
Choose the correct graph below.
A.
B.
­2
­2
0
C.
0
D.
­2
­2
0
0
Write the solution set using interval notation.
*14. Solve the inequality. Graph the solution set and write it in interval notation.
4(x + 1) − 3 > − 6(x − 5) + 11
Choose the correct graph below.
A.
B.
4
0
C.
0
4
0
4
D.
4
0
Write the answer in interval notation.
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10/5/2016
Unit 2 Problem Set­Amanda Unklesay
*15. Solve the inequality. Graph the solution set and write it in interval notation.
− 5(x − 5) − 4x < − (5x + 3) + 3x
Choose the correct graph below.
A.
B.
4
0
4
0
C.
D.
4
0
4
0
Write the answer in interval notation.
16. Solve and check the linear equation.
1
4
(8x + 8) − 15 = −
2
5
(15x − 20)
The solution set is {
}. (Type an integer or a fraction.)
17. Solve and check the linear equation.
x+1
6
=
2
3
+
x−3
4
The solution set is {
}. (Simplify your answer.)
18. Solve the equation.
x+4
2
=4−
x+1
3
The solution set is {
}. (Type an integer or a fraction.)
19. Solve the equation. Then select whether the equation is an identity, a conditional equation, or an inconsistent equation.
4x + 45 = 9(x + 5) − 5x
Select the correct choice below and fill in any answer boxes present in your choice.
A. The solution set is {
}. (Use a comma to separate answers as needed.)
B. The solution is the set of all real numbers.
C. There is no solution.
The equation is (1) (1) an identity.
a conditional equation.
an inconsistent equation.
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Unit 2 Problem Set­Amanda Unklesay
20. Solve the equation. Then select whether the equation is an identity, a conditional equation, or an inconsistent equation.
9(x + 3) = 9 + 9x
Select the correct choice below and fill in any answer boxes present in your choice.
A. The solution set is {
}. (Use a comma to separate answers as needed.)
B. The solution is the set of all real numbers.
C. There is no solution.
The equation is (1) (1) an identity.
a conditional equation.
an inconsistent equation.
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