Math 7 GMAS Review 7NR1 Part 1

Math 7 GMAS Review
7.NR.1: Solve relevant, mathematical problems, including multi-step problems, involving the four operations with rational numbers and quantities in any form (integers, percentages, fractions, and decimal numbers).

​7.NR.1.1 Show that a number and its opposite have a sum of 0 (are additive inverses). Describe situations in which opposite quantities combine to make 0.

​Key Vocabulary

​Key Vocabulary

​Key Vocabulary

​Key Vocabulary

​Key Vocabulary

Multiple Choice

Which situation results in a value of zero?

• The temperature after a decrease of $$5\degree F$$  from a temperature of $$-5\degree$$  

• The height of an airplane after taking off from ground level and rising 1,000 feet.

• The amount of money received in change after making a $10 purchase with a $20 bill.

• The distance above sea level after increasing 24 meters from a depth of 24 meters below sea level.

Multiple Choice

James has $20.00 in his checking account. He goes to the bank and withdraws $20.00. How much money does James have in his account immediately after withdrawing the $20.00?

• -$20

• $0

• $20

• $40

Multiple Choice

A running back on the high school football team was tackled for a 10-yard loss. On the very next play, the running back gains 10 yards. How many yards does the running back have after these two plays?

• 20

• 10

• 0

• -10

Multiple Select

Which of the following situations have a net sum of 0? Select all that apply.

• An apple and an orange both cost $0.50.

• Ted hits the baseball 3 times and doesn't hit it 3

  times.

• A carpenter makes the same amount of

  benches that she sells.

• A business's income is twice as much as the

  business's expenses.

• Lauren learns 10 new spelling words, but then

  forgets 10 old words.

Multiple Choice

Which situation can be described by this equation?

n + −n = 0

• The greatest height in feet that a rocket travels

  and the opposite of that distance have a sum of

  0 feet.

• Equal amounts of money are placed in two different savings accounts. The sum of the two

  amounts equals $0.

• A family drives n miles from home during the

  first day of a trip. They drive an additional n

  miles from home on the second day. The sum of

  the distances for the two days is 0 miles.

• Two students are playing a number game. In the

  game, a number n is added to 0 to make a

  mystery number. That mystery number is 0.

​7.NR.1.2 Show and explain p + q as the number

located a distance |q| from p, in the positive or

negative direction, depending on whether q is positive or negative. Interpret sums of rational numbers by describing applicable situations.

Multiple Choice

Jake’s measures the height of a tree to be $$74\ \frac{3}{8}$$ inches. Six months later, he measures the height again. He says the tree has grown $$2\ \frac{3}{4}$$ inches.

How tall is the tree?

• $$75\ \frac{1}{8}inches$$  

• $$76\ \frac{1}{2}inches$$

• $$77\ \frac{1}{8}inches$$  

• $$77\ \frac{1}{2}inches$$  

Multiple Choice

-15 + (-3)

• 18

• -18

• 12

• -12

Multiple Choice

Which word problem can be solved by evaluating the expression?

−4 + ( − 6) + ( − 2)

• The temperature in Alaska was –4 °F when the sun came up. When the sun went down the temperature dropped 6 F, and by midnight it had dropped another 2 °F. What was the final temperature after midnight?

• The temperature in Alaska was –4 °F when the sun came up. During the day the temperature rose 6 °F, and by midnight it had dropped 2 °F. What was the final temperature after midnight?

• The temperature in Alaska was –4 °F when the sun came up. During the day the temperature rose 18 F, and by midnight it had dropped 2 °F. What was the final temperature after midnight?

• The temperature in Alaska was –4 °F when the sun came up. When the sun went down the temperature dropped 6 °F, and by midnight it had dropped another 2 °F. What was the overall change in temperature?

Multiple Choice

Which statement explains why the sum of –5 and +5 is 0?

• On a number line, +5 is |–5| units to the left of 0.

• On a number line, 0 is |–5| units to the right of +5.

• On a number line, 0 is |–5| units to the left of +5.

• On a number line, –5 is |+5| units to the right of 0.

Multiple Choice

The number line shows the location of a rational number, a.

Which expression has a value of 0?

• (–a) + (–a)

• a + a

• a + (–a)

• a – (–a)

Multiple Choice

During an experiment, a chemist lowered the temperature of a liquid from 32 °C to –13 °C. Which of the following describes t, the number of degrees the temperature changed during the experiment?

• t = 32 − 13

• t = 32 + 13

• −13 − t = 32

• t − 32 = −13

Multiple Choice

The temperature one morning in Shasta was $$-12\degree F.$$  By the after, the temperature had risen by $$8\degree F.$$ What was the temperature in the afternoon?

• $$20\degree F$$  

• $$4\degree F$$  

• $$-4\degree F$$  

• $$-20\degree F$$  

Multiple Choice

Madison's checking account had a balance of -$12. Then she wrote a check for $15. Which represents Madison's account balance now?

• -$27

• −$3

• $3

• $27

Multiple Choice

3.65 + (-4.7)

• -8.35

• -1.05

• 1.05

• 8.35

Multiple Choice

Andre uses $$\frac{3}{4\ }\ teaspoon$$ of oregano and $$\frac{3}{8}\ teaspoon$$  of rosemary in a recipe. How much oregano and rosemary does Andre use in all?

• $$\frac{1}{2}\ teaspoon$$  

• $$\frac{8}{9}\ teaspoon$$  

• $$1\ \frac{1}{8}\ teaspoon$$  

• $$1\ \frac{3}{8}\ teaspoon$$  

​7.NR.1.4 Show and explain subtraction of rational

numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference and apply this principle in contextual situations.

Multiple Choice

The expression below represents the distance

between two points on a number line.

$$\left|-5-4\right|$$  

Which number line shows the two points?

Multiple Choice

3 - (-6) =

• -9

• -3

• 3

• 9

Multiple Select

The temperature on a cold winter day in Minnesota was -6ºF. Which of the following situations could explain how the temperature became -6ºF? Select three that apply.

• In the morning, the temperature was -2º. Then,

  the temperature fell 4º.

• The temperature decreased by 4º from a high of

  2º earlier in the day.

• At 9 a.m., the temperature was -11º. By noon,

  the temperature had dropped 5º.

• At night, the temperature was -1º. Then, the

  temperature fell by 5º during the next day.

• The temperature was 15º on Tuesday. A cold

  front dropped the temperature by 21º at night.

Multiple Select

Which of the following expressions is equal to −12? Select three that apply.

• −15 − 3

• −13 − (−1)

• −8 − 4

• −3 − (−9)

• 5 − 17

Multiple Choice

A submarine at -28 feet dives 40 feet. What is the submarine's elevation after the dive?

• 68 feet

• 12 feet

• -12 feet

• -68 feet

​7.NR.1.5 Apply properties of operations, including part-whole reasoning, as strategies to add and subtract rational numbers.

Multiple Choice

Rational numbers m and n are plotted on the number line.

Based on the number line, which statement is true?

• The value of n − m is positive.

• The value of m − n is positive.

• The value of −(m + n) is positive.

• The value of −m − n is positive.

Multiple Choice

For the past 5 months, Marissa recorded the change in dollar amount on her electric bill per month.

What is the total change in her monthly electric bill over 5 months?

• $8.52

• $10.58

• $16.83

• $27.52

Multiple Choice

What is the result of this subtraction?

6 . 3 − 4 . 9 − 7 .8 =

• –3.4

• –6.4

• 3.4

• 9.2

Multiple Select

Select all statements that are true.

• −10 . 4 + (−5 . 2) = a positive number

• $$-\frac{2}{3}-1\ \frac{1}{2}=$$  a negative number

• 6 - (-6) = 0

• −12 . 5 − 2 . 25 = a negative number

Multiple Choice

Solve:

0.45 − 0.39

• 0.14

• 0.0006

• 0.06

• 0.84

Multiple Choice

Rational numbers a and c are plotted on the number line.

Based on the number line, which statement is true?

• The value of a − c is positive.

• The value of −a − c is negative.

• The value of c − a is positive.

• The value of −c − a is negative.

Multiple Choice

What is the difference in elevation between city #2 and #4?

• 6 feet

• 7 feet

• 81 feet

• 91 feet