Algebra Weekly Review #1

You solve an equation and find that 7 = 9 in your final step. What does this mean?

• The equation has 1 solution.

• The equation has no solution.

• The equation has infinitely many solutions.

• The equation is an identity.

Answer explanation

The equation has no solution because the final step results in 7 = 9, which is a contradiction.

Tags

CCSS.8.EE.C.7A

What is the solution to the equation 6x + 12 = 2x + 4(x + 3)?

• x = 2

• x = 0

• No solution

• All real numbers

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

Tags

CCSS.6.EE.B.8

-2(x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

Tags

CCSS.7.EE.B.4B

Match the graph with its inequality.

• b > –2
• b < –2
• b ≥ –2
• b ≤ –2

Tags

CCSS.6.EE.B.8

-2(x + 3) - 5 = 11

• x = - 11
• x = 2
• x = 11
• x = -2

Tags

CCSS.7.EE.B.4A

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

• No Solution 

• x = 8

• x = -5

• x = 7

Tags

CCSS.8.EE.C.7B

Find the error in the problem below

19 - 2k = 3k - 1

+3k +3k

19 + 1k = -1

-19 -19

k = -20

• They should have divided by 1 for the last step

• They should add 19 instead of subtracting 19

• I can not find an error

• Instead of adding 3k they should subtract 3k

Tags

CCSS.HSA.REI.A.1

You can spend no more than 20 dollars on your mom's birthday present.

• x > 20
• x < 20
• x ≤ 20
• x ≥ 20

Tags

CCSS.6.EE.B.8