Virginia Mathematics Checkpoint Assessment
MATHEMATICS 7.15
Strand: Patterns, Functions, and Algebra
Standards of Learning Blueprint Summary
Reporting Category
Number, Number Sense, Computation
& Estimation
Measurement & Geometry
Probability, Statistics, Patterns,
Functions, & Algebra
Grade 7 SOL
7.1(a-e), 7.2, 7.3(a-b), 7.4
Number of Items
16
7.5(a-c), 7.6, 7.7, 7.8
7.9, 7.10, 7.11(a-b), 7.12,
7.13(a-b), 7.14(a-b), 7.15(ab), 7.16(a-e)
13
21
Excluded from Testing
Number of Operational Items
Number of Field-Test Items
Total Number of Items on Test
50
10
60
Virginia Mathematics SOL Test Cut Scores
Failing Scores
Test
Math 3
Math 4
Math 5
Math 6
Math 7
Math 8
Algebra I
Geometry
Algebra II
Basic
# correct
% correct
16 of 40
17 of 50
18 of 50
16 of 50
17 of 50
17 of 50
n/a
n/a
n/a
40%
34%
36%
32%
34%
34%
n/a
n/a
n/a
Passing Scores
Proficient
Minimum
Minimum
# correct
% correct
26 of 40
65%
31 of 50
62%
31 of 50
62%
28 of 50
56%
31 of 50
62%
31 of 50
62%
25 of 50
50%
25 of 50
50%
27 of 50
54%
Mathematics Checkpoint 7.15
Advanced
Minimum
Minimum
# correct
% correct
36 of 40
90%
45 of 50
90%
45 of 50
90%
45 of 50
90%
45 of 50
90%
46 of 50
92%
45 of 50
90%
44 of 50
88%
43 of 50
86%
Page 1
Checkpoint Items
1. Directions: Circle the box you want to select.
Abby is solving the inequality shown.
𝒙 + 𝟖 > −10
Which step should Abby use to solve the inequality?
Add 8 to both sides
Add 10 to both sides
Divide both sides by 8 and reverse
the inequality symbol
Subtract 8 from both sides and
reverse the inequality symbol
Divide both sides by 8
Subtract 8 from both sides
Mathematics Checkpoint 7.15
Page 2
2. Directions: Circle the box you want to select.
Julie is solving the inequality shown.
𝟒𝒙 > −12
Which step should Julie use to solve the inequality?
Add -4 to both sides
Divide both sides by -4 and reverse
the inequality symbol
Divide both sides by 4
Subtract 4 from both sides
Subtract 4 from both sides and
reverse the inequality symbol
Divide both sides by 4 and reverse
the inequality symbol
Mathematics Checkpoint 7.15
Page 3
3. Directions: Draw pictures to represent the tiles.
James is solving the inequality
𝟑𝒙 > −9
His teacher gave him the following materials.
=1,
= −1,
Use the material provided to draw a picture of the inequality.
=𝒙
>
Mathematics Checkpoint 7.15
Page 4
4. Directions: After showing your thinking, draw the graph on the number line. Use an
open or closed dot and draw an arrow.
Graph the solution to −𝟑𝒃 < 12 on the number line.
Mathematics Checkpoint 7.15
Page 5
5. Directions: After showing your thinking, draw the graph on the number line. Use an
open or closed dot and draw an arrow.
Graph the solution to 𝟐𝒚 ≥ −𝟖 on the number line.
Mathematics Checkpoint 7.15
Page 6
6. Directions: After showing your thinking, draw the graph on the number line. Use an
open or closed dot and draw an arrow.
Graph the solution to 𝒙 − 𝟓 < −2 on the number line.
Mathematics Checkpoint 7.15
Page 7
7. Directions: After showing your thinking, circle the box you want to select. You must
select all correct answers.
Which of the following values satisfy the inequality shown?
−𝟒𝒙 ≤ 𝟐𝟎
−6
4
−8
−4
−5
−10
Mathematics Checkpoint 7.15
0
1
Page 8
8. Directions: After showing your thinking, circle the box you want to select. You must
select all correct answers.
Which of the following values satisfy the inequality shown?
𝒚+𝟔<𝟐
−6
4
−8
−4
−5
−10
Mathematics Checkpoint 7.15
0
1
Page 9
9. Directions: After showing your thinking, circle the box you want to select. You must
select all correct answers.
Which of the following values satisfy the inequality shown?
𝒙 ≥ −𝟒
−6
4
−2
−4
−5
−1
Mathematics Checkpoint 7.15
0
1
Page 10
Checkpoint Solutions
SOL 7.15 The student will
a) solve one-step inequalities in one variable; and
b) graph solutions to inequalities on the number line.
Essential Knowledge and Skills
a. Represent and demonstrate steps in solving inequalities in one variable, using concrete materials, pictorial
representations, and algebraic sentences
b. Graph solutions to inequalities on the number line
c. Identify a numerical value that satisfies the inequality
Item
1
2
3
Answer/Solution
Subtract 8 from both sides
Divide both sides by 4
SOL/EKS
Code
7.15aa
7.15aa
7.15aa
Essential Knowledge and Skills
Represent and demonstrate steps in solving inequalities
in one variable, using concrete materials, pictorial
representations, and algebraic sentences
Represent and demonstrate steps in solving inequalities
in one variable, using concrete materials, pictorial
representations, and algebraic sentences
Represent and demonstrate steps in solving inequalities
in one variable, using concrete materials, pictorial
representations, and algebraic sentences
4
7.15bb
Graph solutions to inequalities on the number line
6
7.15bb
Graph solutions to inequalities on the number line
7.15ac
Identify a numerical value that satisfies the inequality
5
7
8
9
7.15bb
Graph solutions to inequalities on the number line
7.15ac
Identify a numerical value that satisfies the inequality
7.15ac
Identify a numerical value that satisfies the inequality
Mathematics Checkpoint 7.15
Page 11