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Midterm Review Algebra M-1 Name: _________ Date: _________ Part A: Simplify each expression. Show all work. 1) -12 – 20 2) 15 – (20) 3) -8.24 – (-2.19) 4) (-3)(-x)(x)(x) 5) 4x(5 – 8x) 6) 10x + 2(7 – 3x) 7) - (15x – 8) 8) 124 (3 1) 3 9) 17 - (-2) + (-10) 10) 12 x 24 6 2) 3(x – 7) = 3x + 13 Part B: Solve each equation. Show all work. 1) -20 = -10 + x 3) 3(x – 4) = -12 4) 42x – (34x + 13) = 44 5) 2 y 6 7 6) 2 ( x 1) 8 5 7) -6x + 41 = 29 8) 34 = 3x + 2 – x 9) Round to nearest tenth 3.4x + 7.8 = -6.2x – 3.7 10) Solve for y 2x + 3y = 12 Part C: Answer each question carefully. Show all work. 1) Write the numbers in 2) increasing order. 1 7 2 3 , 3.25, -3.5, 3 , 2 3 10 5 3) 5) Evaluate the expression 28 when x = -7 x 4) Evaluate the expression x 16 when x = -18 6) Evaluate the expression 2 1 x when x 5 4 Evaluate the expression (a + b)3 when a = -2 and b = 6 Find the domain of the function 7) 2x x 8 The team won 30 of its 45 games. Find the ratio of wins to losses. 8) Write an expression for the perimeter of the rectangle shown. y 3x 5x + 6 9) What number is 28% of 250? 10) 58 is 50% of what number? 11) Translate and Solve. Five less than a number is 25. What is the number? 12) Make an input-output table for the function. Use -3, -2, 0, 2, 3 for the domain y = 2x – 5 Input 13) The table shows the price of gas per gallon for a four-month period. Make a line graph of the data. Month March April Price $3.05 $2.99 14) Output May $2.89 June $2.85 Show all steps. The selling price of a dress is $63. If the store paid $12 less for the dress, find the price the store paid. Part D: Multiple Choice. Write the correct letter in the space provided. 1) _______Simplify the expression 4(x + 9) – 5(6 –2x) A. B. C. D. 4x + 36 – 30 + 10x 4x + 36 – 30 - 10x 6 – 6x 6 + 16x A. B. C. D. 3) _____What is the area of the figure? A. B. C. D. 42.5 4.25 85 8.5 5 17 5) _____The number of students in a history class is three more than twice the number of students in a computer class. If the number of students in the computer class is c, how many students are in the history class? A. B. C. D. 2c 2c – 3 2c + 3 3 – 2c 2) _____You hike at a rate of 6 miles per hour. Find the distance you travel in 3 hours. 2 miles 3 miles 18 miles 9 miles 4) _____What is the value of (3x)2 + 3 when x = 2? A. B. C. D. 39 147 153 225 6) ____A swimming pool club charges nonmembers $8 per day to use the pool. Members pay a yearly fee of $200 and $4 per day to use the pool. Which equation represents this situation? A. B. C. D. 8x = (200 + 4)x 8x + 200 = 4x 8x = 200 + 4x 8x = (200 + 4)x