Unit 7b Review – Systems of Equations & Inequalities

Line n is shown on the coordinate grid. The table of ordered pairs represents some points on line p. Which system of equations represents these two representations?

• y = 4x + 1.2 and y = 3x - 4

• y = -4x + 1.2 and y = -3x - 1

• y = 3x - 4 and y = -x - 1

• y = x - 1 and y = 3x - 4

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Rodrigo and Melissa went to the art supply store to buy drawing materials. Rodrigo bought 12 pencils and 6 felt-tip markers for a total of $28.80. Melissa bought 2 pencils and 8 felt-tip markers for a total of $14.20. Which of the following systems of equations could be used to determine the cost of one pencil, p, and one felt-tip marker, m?

• 18p + 10m = 45 p + m ≥ 11

• 12p + 6m = 28.8 2p + 8m = 14.2

• 12p + 2m = 19 8p + 6m = 14

• 6p + 12m = 28.8 8m + 2p = 14.2

A system of equations is graphed below.

• a. -3x + y = 8; 4x + y = -6

• b. 3x - y = 8; -4x + y = 6

• c. 3x + y = -8; -4x-y= -6

• d. 3x+y=8 ; -4x+y= -6

A jar containing quarters and nickels contains a total of 80 coins. The value of all the coins in the jar is $14.60. If n represents the number of nickels and q represents the number of quarters, how many nickels and dimes are in the jar?

• 23 nickels and 57 quarters

• 53 nickels and 27 quarters

• 27 nickels and 53 quarters

• 57 nickels and 23 quarters

What is the solution to the following system of equations? -2x + y = -8 -6x + 3y = 9

• (-1, 1)

• No solution

• Infinitely Many

• (1, -1)

A system of equations is shown below. x + y = 5 2x - y = 4 What is the solution to the system of equations?

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The tables of ordered pairs represent some points on the graphs of two different lines. Which equations corresponds to Line a and Line b?

Giannis and Francis are both ____ miles from home ____ minutes after they begin riding home.

• 0.4 miles, 8 minutes

• 0.5 miles, 10 minutes

• 0.2 miles, 6 minutes

• 0.6 miles, 12 minutes