Day 075Unit 5 Test
I can apply the skills taught so far, show my reasoning, and check my answers.
Show what you know
Questions 1–4 review Unit 4 (20%). The remaining 16 questions assess the current unit. Show your work, simplify exact answers, label units, and explain when asked.
Unit Test
Begin with the review questions, then continue through the current-unit questions.
- Previous unit review
A cyclist travels 200 km in 5 hours at constant speed. Find the speed.
- Previous unit review
Pack A has 3 markers for $12; Pack B has 9 markers for $40.5. Find each unit price and the better buy.
- Previous unit review
Find 50% of 40.
- Previous unit review
Find 40% of 160.
- Current unit
A marker is 18 m above sea level. Write its signed elevation and explain what elevation 0 means.
- Current unit
Find the opposite of -7. Show both values on a number line.
- Current unit
Draw a horizontal or vertical number line. Plot and label -6, 0, and 6.
- Current unit
Draw a horizontal or vertical number line. Plot and label -1/2, 0, and 3/2.
- Current unit
Compare -1 ___ -1/2 using <, >, or =. Sketch a number line to justify.
- Current unit
Compare -2/5 ___ -5/3 using <, >, or =. Sketch a number line to justify.
- Current unit
Find |-4| and compare it with |2|.
- Current unit
Find |-21| and compare it with |3|.
- Current unit
Plot P(4, 5) on a coordinate plane and name its quadrant.
- Current unit
Plot (-3, 7), reflect it across both axes, and give the reflected coordinates.
- Current unit
Plot (3, -7) and (3, 7). Find their distance. Explain why adding magnitudes works or does not work for these points.
- Current unit
Plot (-6, 3) and (3, 3). Find their distance. Explain why adding magnitudes works or does not work for these points.
- Current unit
A marker is 16 m below sea level. Write its signed elevation and explain what elevation 0 means. Write the elevation of the point equally far on the opposite side of sea level.
- Current unit
Find the opposite of -7/5 and the opposite of that result. Locate all values on a number line.
- Current unit
Draw a horizontal or vertical number line. Plot and label -2/3, 0, and 4/3. Name the step size of your scale and explain the placement.
- Current unit
Draw a horizontal or vertical number line. Plot and label -2, 0, and 7/3. Name the step size of your scale and explain the placement.
Answers and reasoning
Reveal the teacher answer key
- 40 km/h
Speed = 200 ÷ 5 = 40; distance = speed × time.
- A $4/marker; B $4.5/marker; A is cheaper
Divide each price by its marker count; compare 4 with 4.5.
- 20
50/100 × 40 = 20.
- 64
40/100 × 160 = 64.
- +18 m; 0 means at sea level
Sea level is the reference. Below is negative and above is positive.
- 7
-7 and 7 are each 7 units from 0 on opposite sides.
- -6 < 0 < 6; unit steps
Negative -6 is left of or below 0; 6 is right of or above 0. Use equal intervals.
- -1/2 < 0 < 3/2; use steps of 1/4
Negative -1/2 is left of or below 0; 3/2 is right of or above 0. Use equal intervals.
- <
-1 < -1/2; greater numbers lie farther right.
- >
-2/5 > -5/3; greater numbers lie farther right.
- 4; 4 > 2
-4 is 4 units from 0; distance is nonnegative.
- 21; 21 > 3
-21 is 21 units from 0; distance is nonnegative.
- Quadrant I
Move 4 right, then 5 up.
- (3, -7)
Reverse both signs: (3, -7).
- 14 units
Only one coordinate changes. Opposite sides of 0: 7 + 7 = 14.
- 9 units
Only one coordinate changes. Opposite sides of 0: 6 + 3 = 9.
- -16 m; 0 means at sea level; opposite +16 m
Sea level is the reference. Below is negative and above is positive.
- 7/5; opposite again -7/5
-7/5 and 7/5 are each 7/5 units from 0 on opposite sides.
- -2/3 < 0 < 4/3; use steps of 1/3
Negative -2/3 is left of or below 0; 4/3 is right of or above 0. Use equal intervals.
- -2 < 0 < 7/3; use steps of 1/3
Negative -2 is left of or below 0; 7/3 is right of or above 0. Use equal intervals.