PASSAIC COUNTY COMMUNITY COLLEGE, SAMPLE MA004 FINAL EXAM FALL 2012 Simplify the expression by combining like terms. Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers. 7 2 x4 5) 7 5 x2 1) 11r + 7(4 - 2r) A) 3r - 28 B) 9r + 28 C) -3r + 28 D) 25r - 28 Give the ordered pairs for the points labeled on the graph. 2) A) x2 73 B) 2 3 C) 73 x2 D) 7 x Write the number in scientific notation. 6) 0.000859 A) 8.59 × 10-5 B) 8.59 × 104 C) 8.59 × 10-4 D) 8.59 × 10-3 Solve. 7) 32% of what number is 72? A) A(-4, 0); B(-5, -3) B) A(-4, 4); B(5, -3) C) A(4, 0); B(5, -3) D) A(-4, 0); B(5, -3) Use the product rule, if possible, to simplify the expression. Write the answer in exponential form. 3) s2 · s7 · s5 A) s14 B) s19 C) s12 D) s9 Use the power rules for exponents to simplify. Write the answer in exponential form. 4) (53 )4 A) 512 B) 2512 C) 57 D) 257 1 A) 0.44 B) 2250 C) 44 D) 225 The circle graph shows the results of the student council presidential election. The complete circular area represents 100% of the votes. 8) 12) 2x + 23 = 6x + 3 Jim 20% Ted 30% B) 6x + 4 C) 10x D) 6(4 + x) 14) 25 cents to 45 cents 13 A) 130 How many votes did Lili get? D) 105 A) 4x + 6 Write the ratio as a fraction in lowest terms. The circle graph shows what percent of the vote each person received. C) 90 D) 5 13) 4 more than 6 times a number 300 total votes B) 60 13 2 13 2 Write the phrase as a variable expression. Use x to represent "a number." Ming 15% A) 45 B) - C) Student Council President Lili 35% A) -5 C) 5 9 B) 70 130 D) 7 130 Find the unit rate. Simplify. 15) 255 miles in 3 hours 9) (-6 + 42) ÷ 9 - 15 A) -11 B) 11 C) 19 D) -19 A) 765 miles B) 85 miles/hour C) 258 miles/hour D) 85 miles Evaluate the expression for the given replacement values. 10) x2 - 3y Solve using a proportion. Round your answer to the nearest hundredth when necessary. for x = 6 and y = -3 A) 45 B) 21 C) 27 D) 3 16) It takes Sarah 18 minutes to type and spell check 14 pages of a manuscript. How long does it take her to type and spell check 91 pages? Round answer to the nearest whole number if necessary. Solve the equation. 11) 13 = -9x - 5 A) 3 B) 27 C) 31 D) -2 2 A) 71 minutes B) 117 minutes C) 1638 minutes D) 18 minutes Write as a percent. Solve the problem. 17) 0.2 A) 0.02% B) 0.2% C) 20% D) 200% 22) Laura's five test grades in her MA004 class were 85, 72, 90, 76, and 83. In MA004, the lowest test grade is dropped. Find Laura's test average for her four highest test scores. Find the closest estimate of the square root. 18) A) 83.5 B) 61 C) 81.2 D) 66.8 500 A) 70 B) 30 C) 22 D) 35 Find the unknown number in the proportion. Round answer to the nearest tenth when necessary. x 7 = 23) 33 11 Solve the problem. 19) Your bank account has $56 in it when you write checks for $49, $28, and $46. You then deposit $25 and $51. How much is in the account? Are you overdrawn? A) $-103, yes B) $55, no C) $103, no D) $9, no A) 2.3 B) 21 C) 28 D) 51.9 Find the perimeter and area of the figure. (P = 2L + 2W, A = LW) 24) A rectangle 4 cm by 12 cm A) P = 32 cm, A = 48 cm2 Simplify. B) P = 16 cm, A = 96 cm2 2(2 + 5) + 2(7) 20) 2(8 - 1) C) P = 16 cm, A = 48 cm2 A) 28 15 B) 2 C) 77 15 D) D) P = 16 cm, A = 96 cm2 11 2 Solve. 25) Find the radius. Solve the equation. 2 21) n = 4 9 38.8 mi A) n = 8 9 B) n = 18 C) n = 9 8 D) n = 1 18 3 A) 1181.77 mi B) 19.4 mi C) 60.916 mi D) 9.7 mi Find the sum. 9 3 + 26) 20 4 A) 3 2 3 C) 10 Add. 29) Find the sum of -27 and 41. B) 3 8 A) -14 B) 14 C) 68 D) -68 3 D) 40 Divide. 30) -7.2 ÷ 0.09 Write the percent as a fraction or mixed number in simplest form. 27) 46% A) 23 50 B) 4 C) 23 25 D) 3 5 A) -7.11 B) 71.1 C) 80 D) -80 Solve the problem. 23 100 31) During one week, Carlos worked 7 hours on Monday, 6 hours on Tuesday, and 8 hours on Friday. There are 168 hours in a week. What percent of the week did Carlos spend working? The bar graph shows the number of tickets sold each week by the garden club for their annual flower show. A) 14.7% B) 35.3% C) 12.5% D) 8.0% Find the missing angle measure. 32) 54° 63° 28) How many more tickets were sold during week 4 than week 3? A) 39 tickets B) 29 tickets C) 34 tickets D) 89 tickets 4 x A) 27° B) 117° C) 54° D) 63° The triangle shown is a right triangle. Find the length of the unknown side. 33) 6 yd 8 yd A) 10 yd B) 14 yd C) 28 yd D) 100 yd Find the area. 34) Find the area of a triangle with a base of 46 1 in and a height of 40 in. (A = bh) 2 A) 800 in.2 B) 900 in.2 C) 920 in.2 D) 1840 in.2 35) 52 - 23 A) 33 B) 18 C) 17 D) 4 5