MATH 10172 - Sample Practice Questions - TEST # 2
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Sheridan College *
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10016
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Mathematics
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Feb 20, 2024
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18
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Question 1 of 38 (SAMPLE PRACTICE QUESTION - TEST # 2) Write the base and exponent for the powers. 4. 5% Base: Exponent: b. 111 Base: Exponent: .3 Base: Exponent:
Question 2 of 38 Express the following expressions as a single power: a (1.57%)° a. 15718 b. 1571 . L.577 d.1.5777
Question 3 of 38 If you express using positive exponents, which one is the correct expression?
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Question 4 of 38 Evaluate the following: (6-9) -7 -5 = Question 5 of 38 w_ 10° a.10,000 b. 10 ¢ 10" d.1074 Question 6 of 38 Simplify the following expression and then evaluate. 1 1 97 x 9% Round your answer to two decimal places. Question 7 of 38 Simplify the following expression and then evaluate. 2 5 (")
Question 8 of 38 Given the following expression: a. Which of the following is its radical form? a. 9 100 b o 2 100 92 I \/ 100 2 a2 100 b. Evaluate the given expression: Give your answer as a fraction reduced to lowest terms. Question 9 of 38 Evaluate: 1 1 278 x162 = Question 10 of 38 Find the square root of 0.25. V0.25 =
Question 11 of 38 Simplify using perfect roots of a number: a. 43 b.5/3 ¢33 d.7y/3 Question 12 of 38 Calculate the following: a.10 - (8+6) = b.12 — (—2+3)+3= Question 13 of 38 Evaluate the following: 3(7+4x15+3) —(1-3x4)
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Question 14 of 38 Evaluate the following expressions: a|-9|= b, —|4| = Question 15 of 38 Evaluate the following expressions: a.—6] x| —4|= b.—| =56+ |—7| = Question 16 of 38 Wanting to save money, the next time Alex goes to a restaurant, his dinner and taxes combined comes to $10.00. If taxes are equal to 13%, what is the value of his dinner? Round to the nearest cent
Question 17 of 38 What is the value of the following expression expressed in scientific notation? (Coefficients are rounded to two decimal places). (914 x 10°8) + (8.17 x 109) (5.68 x 10°%) x (5.74 x 107) a.3.05 % 107° b.3.05 x 107 €.3.05 x 10713 d.0.31 x 10712 e.0.31x107° Question 18 of 38 Divide the numbers and express the answer in scientific notation: 42x1073 Sl x100 %10 (to the power of) % X 3.57 x 10% ~ TTo1x102 x 10 (to the power of)
Question 19 of 38 Identi'y the number of significant digits and precision of the following numbers: a.76,000 Numker of Significant digits = (Circle the best answer) Level of Precision = Hudredths / Ten Thousandths / Thousands / Hundreds b. 40.700 Number of Significant digits = (Circle the best answer) Level of Precision = Ten Thousandths / Hundred Thousandths / Thousandths / Hundreds ¢ 0.30 Number of Significant digits = (Circle the best answer) Level of Precision = Units / Hundreds / Hundredths / Tenths
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Question 20 of 38 Round the following numbers to the indicated significant digits: a.0.8820 to 1 significant digits a.0.88 b. 0.882 c.09 d. 0.0882 b. 6,550,000 to 2 significant digits a. 6,550,000 b. 6,400,000 €. 7,000,000 d. 6,600,000 Question 21 of 38 Convert the following to numbers from scientific notation to standard notation: 2.923x 1073 = b.4.92 x 10° =
Question 22 of 38 Subtract polynomials: (1.32% + 242% — 1.72) — (~52° — 3.82% + 5.6) = 234 22— z—5.6 (Write your answer in decimals, with one decimal place. For example, if your answer is 1, write it as 1.0) Question 23 of 38 Simplify the following expression: 4z + 5z 5z Express as an improper fraction in lowest terms Question 24 of 38 Simplify and evaluate the following expressions, where x = 4. (3z) (2.502 + 4z) (4z + z)
Question 25 of 38 Evaluzte each of the following expressions, given = 3and y = 5 : , 296 2 Round (o two decimal places b.5z% + 12z — 4y Round 1o two decimal places Question 26 of 38 Given the expression : z* + 1222 + 36, which of the following represents its factored equivalent? a (z+ 6)2 b. (z +6) (z —6) c (:c2 + 6)2 Question 27 of 38 The perimeter and area of an envelope are known to be 68 cm and 64cm? respectively. We can find the dimensions by solving the equation 2%~ 34z +64 =0 Factored, the left side of this equation gives, a (z—4) (x —16) b. (z +2) (z — 17) c (@ —2)(z—32) e [
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Question 28 of 38 Simplify the expression and answer the following: a. What s the resulting coefficient of a2? b. What s the resulting coefficient of a*b*? (15a® — a®0* — 9b*) + (—10a°8* — 11a® — b + 25a) a. Coefficient of a2 = b. Coefficient of a3p? = Question 29 of 38 Simplify the expression. (z—6)(Bz+17) What's the sum of the coefficients of z2 and z?
Question 30 of 38 Choase the correct algebraic expression for the following: seven less than twice a number a.2-"Tx b.2x7—2a c2z—7 d.2z — Tx nineteen divided by three times a number twenty-six increased by twice a number a.26z +2 b.2 + 262 c.z+26 d. 26 + 2z
Question 31 of 38 Solve for the unknown variable in the following expression: 9(y+6)—2(y—5=3(y—3) y= Round to two decimal places Question 32 of 38 4z =10+ 64 = Question 33 of 38 Charlie's Chocolate Factory has two machines that can together produce 10,000 chocolate bars in 1 day. If machine B has a capacity of 2 times as many as machine A, how many chocolate bars can each machine produce in 1 day? Machine A: Round up to two decimal places Machine B: Round up to two decimal places Question 34 of 38 Monica paid $982 for a set containing a TV and a TV stand. The salesperson informed her that separately, the TV was worth 1 1/2 times as much as the TV stand. How much would each item cost separately? v: Round to the nearest cent TV Stand : Round to the nearest cent P ¥ SNE=S0Y
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Question 35 of 38 Rearrange and isolate the indicated variables. 1+b a. What is the rearranged equation for bina = b 2 c 1 ab= ac—1 a+1 b.b= c cb=ac—-1 1 db=— ac 1+0b b. What is the rearranged equation for cina = ; 2 c b+1 ac= ab 1+b c=a b ab Cc= b+1 d.c=ab(1+b)
Question 36 of 38 Given the equation c(z—13) =14, which of the following is true? 14 az=—+13 c 27 bz = — c 13 cr=—+14 c Question 37 of 38 Rearrange to isolate the variables indicated in the brackets: S =ut+at?,(u) at’ — 8 au= t S —at® bou= 2 t S—at cu= t Sat? dy=——0
Question 38 of 38 Rearrange to isolate the variables indicated in the brackets: _ (atb)h 2 A s (h)
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