Test solutions with the detailed point scale. Add up your points and spot what to review.
1 Opposites and absolute value / 3 pts
(a) \( 13 \) and \( -4.5 \) (1 pt). (b) \( 21 \) and \( 17 \) (1 pt). (c) \( |-15| = 15 > |12| = 12 \), so \( -15 \) is farther from 0 (1 pt).
2 Adding and subtracting / 4 pts
(a) \( -15 \) (1 pt). (b) \( 14 - 20 = -6 \) (1 pt). (c) \( 7 + (-12) = -5 \) (1 pt). (d) \( -3 + 11 = 8 \) (1 pt).
3 Distances / 4 pts
(a) \( |6 - (-8)| = 14 \) (1 pt). (b) \( |-5 - (-13)| = 8 \) (1 pt). (c) \( -2 + 7 = 5 \) (1 pt) and \( -2 - 7 = -9 \) (1 pt).
4 A day of weather / 4 pts
(a) \( -6 + 11 = 5 \), so \( 5^\circ\text{F} \) (1 pt). (b) \( 5 - 16 = -11 \), so \( -11^\circ\text{F} \) (1 pt). (c) \( -6 - (-11) = 5 \), so midnight is 5 degrees colder than 8 a.m. (2 pts: 1 for the subtraction, 1 for the answer).
5 Rational numbers / 3 pts
(a) \( -4.25 \) (1 pt). (b) \( 0.8 + 2.2 = 3 \) (1 pt). (c) \( -\dfrac{2}{4} + \dfrac{3}{4} = \dfrac{1}{4} \) (1 pt).
6 True or false / 2 pts
(a) True: \( n + (-n) = 0 \) (1 pt). (b) False: with \( a = 2 \) and \( b = 5 \), \( a - b = -3 \) is negative (1 pt).
Test yourself: quick challenge for Grade 7
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