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RC Algebra Mid-Term Review – Kurelja 01/30/17 to 02/02/17 Name: ______________________________________________ Simplify each expression. (PEMDAS: parenthesis, exponents, multiplication/division, addition/subtraction) 1) 28 3(5) 4 2) 2 2 (5) 4 3) (4 3 8) (5 2) 4) (4 6) (2 2) Solve each equation. SHOW ALL WORK!!! 5) x + 6 = 18 8) x 6 3 6) x – 4 = 7 7) 5x = - 60 9) 2x – 12 = 40 10) 3x + 15 = 60 1 RC Algebra Mid-Term Review – Kurelja 01/30/17 to 02/02/17 11) 2x – 61 + 6x = - 5 12) 5x – 2x + 12 = 39 13) - 2 ( x + 8) = 20 14) 6x – 22 = - 5x + 11 15) 6(x + 2) = 48 16) 7x + 14 = 7x + 14 17) 5x – 2 = 5x + 5 18) 2x + 4 = 2x + 4 2 RC Algebra Mid-Term Review – Kurelja Solve the 19-23 using 01/30/17 to 02/02/17 is % of 100 19) What percent of 60 is 12? 22) What percent of 77 is 13? 20) What is 15% of 400? 21) 50% of what number is 125? 23) What is 23% of 265? 24) Jose went out for lunch with $12.00. He bought a sandwich and soda. Jose received $5.25 in change. How much money did he spend? 25) Matthew deposited $1800 into a savings account. His account earns simple interest at a rate of 4.75% per year. How much interest will the money have earned after 6 years? ( I prt , r must be a decimal) 3 RC Algebra Mid-Term Review – Kurelja 01/30/17 to 02/02/17 Solve each inequality; then graph the solution. 26) 11x 121 27) 5 x 2 32 28) 2 x 16 24 Graph the ordered pairs. Tell whether the function is linear or nonlinear. Circle your answer. 29. Linear or Nonlinear 30. Linear or Nonlinear 4 RC Algebra Mid-Term Review – Kurelja 01/30/17 to 02/02/17 Tell whether the graph is CONTINUOUS or DISCRETE. 31) The cost d, in dollars, for a parking pass depends on the number of whole weeks w you purchase. This situation is represented by the function rule d = 25w. 32) The price p, in dollars, for apples depends on the weight w, in pounds, of the apples. This situation is represented by the function rule p = 1.99w. Write a function rule that represents each situation. 33) Chelsea’s earnings are a function of the number of lawns she mows at a rate of $20 per lawn. 34) The total fees of a book club membership are $15 per month and a one-time administrative fee of $5.75. 35) An online music club charges $5.00 for the first music download and $2 for each additional download per month. Write a rule for describing the total monthly fees as a function of additional downloads. What are the fees for 25 music downloads in a month? 36) A taxicab charges $4.25 for the first mile and $1.50 for each additional mile. Write a rule for describing the total rate as a function of the total miles. What is the taxi rate for 12 miles? 5 RC Algebra Mid-Term Review – Kurelja 01/30/17 to 02/02/17 Identify the domain and range of the relation. Is the relation a function? **Domain is all x-values, Range is all y-values. 37) {(2, 4), (8, 11), (9, 1), (4, 2)} 38) {(6, 5), (5, 6), (2, 2), (2, 6)} domain: ____________________________ domain: ____________________________ range: ____________________________ range: ____________________________ function? function? YES or NO YES or NO Find the range for the given domain. 39) f(x) = 4x + 3; {–1, 0, 2} 40) f(x) = x + 4; {–2, 0, 2} 6