7th Grade Angle Relationships and Equations Test with Point Values (PDF)

7th Grade math test: Angle Relationships and Equations – Maths PDF

Cover of the book Grade 7 Math Tests with Answer Keys (PDF)

Download as a PDFThe Grade 7 tests book with answer keysPrintable PDFSee the book ›

Sommaire

This grade 7 angle relationships test for 7th Grade covers angle relationships and equations (Common Core 7.G.B.5), with a free PDF to print.

This 45-minute test checks supplementary, complementary, vertical, and adjacent angles, and simple equations for an unknown angle (Common Core 7.G.B.5). It has 9 questions worth 20 points in all. Show your work, because most questions give partial credit for correct steps.

Time and points

About this test

Grade: Grade 7
Chapter: Angle Relationships and Equations
Standards: 7.G.B.5
Time: 45 minutes
Total: 20 points

Grade 7 angle relationships test: questions

Question 1 – Complementary [2 pts]

A right angle.

Find x. Name the relationship between the two angles.

Question 2 – Supplementary [2 pts]

A straight line.

Find x and name the pair of angles.

Question 3 – Crossing lines [2 pts]

Two lines cross.

Find a, b, and c. Explain how you know.

Question 4 – Complementary expressions [2 pts]

Two complementary angles measure \((3x+6)^{\circ}\) and \((2x+24)^{\circ}\). Find x and both angles.

Question 5 – Vertical angles equation [2 pts]

Two vertical angles measure \((5x-8)^{\circ}\) and \(52^{\circ}\). Find x.

Question 6 – Around a point [2 pts]

Angles of \(110^{\circ}\), \(95^{\circ}\), and \(x^{\circ}\) fit around a point with another angle of \(60^{\circ}\). Find x.

Question 7 – Ratio [2 pts]

Two supplementary angles are in the ratio 4 : 5. Find both angles.

Question 8 – Linear pair equation [3 pts]

A linear pair.

Write an equation for the two angles. (1 point)
Solve for x. (1 point)
Find both angle measures. (1 point)

Question 9 – Crossing roads [3 pts]

Two roads cross.

Two roads cross at a \(65^{\circ}\) angle, as shown. (a) Find the measures of the other three angles. (1 point) (b) Name the pairs of vertical angles. (1 point) (c) Explain why the angles of \(65^{\circ}\) and \(115^{\circ}\) are supplementary. (1 point)

Key facts behind this grade 7 angle relationships test

Key facts

Complementary angles add to \(90^{\circ}\); supplementary angles add to \(180^{\circ}\).
Angles on a straight line add to \(180^{\circ}\); angles around a point add to \(360^{\circ}\).
Vertical angles are equal.
Adjacent angles share a vertex and a side.
Write an equation from the relationship, solve it, and check the sum.

How to use this grade 7 angle relationships test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 7 chapters: Grade 7 math.

Voter.. post

Free printable PDF