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Back to Tutor Intake Assessment: Solve linear equations and inequalities

HSA.REI.B.3 Tutor Intake — Linear Equations and Inequalities

This short check helps your tutor understand where to start. Answer each question without help. If you are not sure, give your best try — the goal is to find what to work on together, not to grade you.

Grade 9·9 problems·~14 min·Common Core Math - HS Algebra·standard·hsa-rei-b-3
Work through problems with immediate feedback
A

Concepts

1.

A student solves −4x>20-4x > 20.

Which of the following shows the correct solution and the correct
inequality direction?

2.

A student solves the inequality 2x−5>92x - 5 > 9 and arrives at 2x>142x > 14
after adding 5 to both sides.

Does the inequality symbol need to flip at the next step (dividing both
sides by 2)?

3.

Which of the following correctly writes the solution x≥−3x \geq -3 in
interval notation?

B

Procedures

1.

Solve the linear equation 3(2x−1)+4=2x+113(2x - 1) + 4 = 2x + 11.

Enter the value of xx.

2.

Solve the literal equation ax−b=cax - b = c for xx (assume a≠0a \neq 0).

Enter the solution: $x = $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  

x-expression:
3.

Solve the inequality 5−3x≤145 - 3x \leq 14.

Write the solution in inequality notation: xx   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲     ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  

inequality-symbol:
value:
4.

Which of the following is the correct solution to 2x+6=2(x+3)2x + 6 = 2(x + 3)?

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