Practice Test Unit 1 Connections to Algebra

Algebra 1 Unit 1: Practice Test The use of a calculator is NOT allowed on this entire review. Name: _____________________________ Date: ______________ Period: ________ “PRACTICE” TEST… Unit 1 – Connections to Algebra Part 1: Order of Operations. Use order of operations to simplify each expression. No decimal answers. __________1) 62 − 7 ÷ 7 __________2) 12(6 + 4) − 17 __________3) 6+6 34 +10÷2 __________4) 12  6  10  7    2 3 Part 2: Simplifying Variable Expressions. Evaluate each expression given each variable. No decimal answers. __________5) 1 𝑥 8 if 𝑥 = 8 __________6) 𝑥 2 if 𝑥 = −4 __________7) 7𝑥 − 21 if 𝑥 = −2 __________8) Find the value of 4𝑦 2 ÷ 2 + 6 when 𝑦 = 3 . Part 3: Number Systems. Determine which subset of the real number system that each number best belongs to (whole, integer, rational or irrational). Use each word once. _________________________9) 19 _________________________10) -3.48 _________________________11) -444 _________________________12) √21 Part 4: Number Comparisons. Complete each statement using > or < . __________13) -19 ____ -15 __________14) 0 ____ -24 The use of a calculator is NOT allowed on this entire review. Part 5: Ordering Numbers. Write the numbers in increasing order. No decimal answers. ____________________15) -3, 11, -15, 0, -5, 2 ____________________16) 3 1 −4 , −5, 16, 8 , 3 4 Part 6: Identify the Property. ____________________17) 𝑎 ∗ (𝑏 ∗ 𝑐) = (𝑎 ∗ 𝑏) ∗ 𝑐 ____________________18) − (8 + 10𝑦) = − (8) − (10𝑦) ____________________19) 3+𝑥+4=4+3+𝑥 1 4 1 4 1 4 Part 7: Absolute Value. Evaluate each expression when 𝒙 = −𝟏𝟏. __________20) |𝑥| − 9 __________21)  x  4 x  _____ Part 8: Integers. Simplify each expression completely. __________22) −18 + (−13) __________23) −7 + 18 __________24) 19 − (−2) __________25) 12 6 __________26) (−14) ∙ (−2) __________27) −32 −4 + 4 − 23 Part 9: Distributive Property. Simplify each expression completely using the distributive property. _______________28) −3(𝑦 + 4) _______________29) 8(𝑏 − 5) − 𝑏 _______________30) −4(𝑥 − 3) + 2(𝑥 + 1) The use of a calculator is NOT allowed on this entire review. Part 10: Coordinate Plane. Plot each of the following points on the grid below. Use the letter to label the point on the graph. Identify the quadrant or the axis on which the point is found. Problem 31) 32) 33) 34) 35) Point A B C D E Coordinates (-3, 2) (0, -6) (-2, -2) (7, -3) (5, 0) Quadrant or Axis Part 11: Fractions. Answer each question. No decimal answers. 9 to simplest form. 81 __________36) Reduce __________37) Change 6 __________38) Change __________39) Simplify: 5  3 __________40) Simplify: 9 2  11 7 __________41) Simplify: 3 5  4 12 5 to an improper fraction. 9 22 to a mixed number. 3 3 5 2 5 Part 12: Equations. Solve the equation for the given variable. No decimal answers. __________42) 6 y  7 __________43) a 6 7 __________44)  4  4  4m __________45) 2  k  3 3 The use of a calculator is NOT allowed on this entire review. Part 13: Applications. Multiple Choice… Choose the best answer. __________46) __________47) At a pep rally for a school fundraiser, the Student Council sold 32 cookies at $0.80 each. They also sold 46 snow-cones for $0.50 each. How much did they raise altogether? A) $55.40 B) $48.60 C) $38.00 D) $68.60 Simplify: (16  15)  12  15 A) 1 __________48) __________49) B) 4 5 C) 1 1 3 A doctor sees 36 patients in 8 hours. At this rate, how long will it take to see 20 patients? A) approximately 4 hours B) approximately 4.5 hour C) approximately 5 hours D) approximately 5.5 hours Write a verbal expression for 3x  y . 3 A) The sum of 3 times x and y cubed. B) The sum of 3 times x and y cube rooted. C) The difference of 3 times x and y cubed. D) The sum of x and y cubed. __________50) D) 15 Simplify: 3  5( xy  3z )  4 xy  3 A) 9 xy  15z B) 5 xy  3 z  3 C) 6 xy  6 z  3 D) 6 xy  3z  3