MAT 0024 MIDTERM REVIEW INSTRUCTOR M.BEYLIN NAME ________________________________ Add or subtract as indicated. Write the answer in lowest terms. 1 1 11) + 6 36 Find the absolute value of the number. 1) |4| 2) |-24| 12) Insert <, >, or = to make the statement true. 3) -8 11 7 20 16 8 Simplify the expression. Simplify the expression by combining any like terms. 4) 5 · 5 - 2 13) -9m + 7 - 3 + 1 + m - 5 5) 7 2 - 4 · 7 6) 14) 9a - 6a + a - 10 36(6 - 3) - 6 32 - 3 Simplify the expression. First use the distributive property to remove any parentheses. Evaluate the expression for the given replacement values. 10x - 6y 7) x = 9, y = 4 x + 14 8) y + 2x2 z 15) (12z + 6) - (5z - 2) Solve the equation. x = 6, y = 16, z = 4 16) 8x - (2x - 1) = 2 Multiply or divide as indicated. Write the answer in lowest terms. 9 1 9) · 7 6 17) 2(2z - 4) = 3(z - 4) Write the following as an equation, using x for the unknown number. Then solve. 10) 1 3 ÷ 18 16 18) When 3 times a number is subtracted from 7 times the number, the result is 28. Find the number. 1 19) If 4 times a number is added to -9, the result is equal to 13 times the number. Find the number. 28) 2x + 10 - 4x < 6 - 4x + 4 Solve the formula for the specified variable. 20) I = Prt The bar graph shows the number of tickets sold each week by the garden club for their annual flower show. Use the graph to answer the question. for t 21) P = a + b + c for b 22) P = 2L + 2W for L Solve. Round all amounts to one decimal place. 23) 73 is 20% of what number? 24) 150 is what percent of 96? 29) During which week were the greatest number of tickets sold? 25) 60% of what number is 70? 30) How many tickets were sold in all? Solve the inequality. Graph the solution set and write it in interval notation. 26) 15x - 35 > 5(2x - 11) 27) 9x + 24 ≤ 3(2x - 1) 2 The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. Use the graph to answer the question. 34) y 8 6 H 4 2 -8 -6 -4 -2 2 4 6 8 x -2 -4 -6 G -8 Determine whether the equation is a linear equation in two variables. 35) 5y = x - 7 36) 6x - 7y2 = 5 37) x = 4y 31) What temperature was recorded at 5 p.m.? Find three ordered pair solutions by completing the table. Then use the ordered pairs to graph the equation. 32) At what time was the temperature 73°? 38) y = 3x - 4 Find the x- and y-coordinates of the following labeled points. x y 0 1 -1 33) y 8 B 6 y 4 A 10 2 5 -8 -6 -4 -2 2 4 6 8 x -2 -4 -10 -5 5 -6 -5 -8 -10 3 10 x Graph the linear equation. 42) x = 5 39) 2x = y - 7 y 10 y 10 5 5 -10 -10 -5 5 10 -5 5 10 x x -5 -5 -10 -10 Identify the intercepts. 40) 4x + y = 0 43) y y 10 10 5 5 -10 -5 5 10 x -10 -5 5 10 x 5 10 x -5 -5 -10 -10 41) y = 1 44) y 10 y 10 5 5 -10 -5 5 10 x -5 -10 -5 -5 -10 -10 4 Answer Key Testname: 0024 EXAMMID REVIEW 1) 2) 3) 4) 5) 6) 4 24 = 23 21 17 66 7) 23 33) 34) 35) 36) 37) 38) A(4, 3); B(-4, 6) G(2, -7); H(-6, 4) yes no yes x 0 1 -1 8) 76 3 9) 14 y -4 -1 -7 y 10) 8 27 10 7 36 5 11) 12) 9 80 -10 -5 10 x 5 10 x 5 10 x -5 13) -8m 14) 4a - 10 15) 7z + 8 1 16) 6 -10 39) 17) -4 18) 7x - 3x = 28; 7 19) 4x + (-9) = 13x; -1 I 20) t = Pr y 10 5 21) b = P - a - c P - 2W 22) L = 2 23) 24) 25) 26) 5 -10 -5 -5 365 156.3% 116.7 (-4, ∞) -10 40) y -6 -5 -4 -3 -2 -1 -11 -10 -9 -8 -7 -6 -7 10 27) (-∞, -9] 5 -12 28) (-∞, 0) -10 -5 -5 -4 29) 30) 31) 32) -3 -2 -1 0 1 2 3 4 week 4 205 tickets 76 ° F 10 a.m. -10 5 Answer Key Testname: 0024 EXAMMID REVIEW 41) y 10 5 -10 -5 5 10 x 5 10 x -5 -10 42) y 10 5 -10 -5 -5 -10 43) (1, 0), (0, 6) 44) (1, 0), (0, -5) 6
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