MATH 1320 -Precalculus Practice Exam

MATH 1320-Section 117 Exam 01-Review Test September, 2021 First Name______________________________ Last Name______________________________ _____________________________________________________________________________________________________ Select the correct answer for questions 1-13. Write explaining your answer for the questions 14-16. Marks will be deducted for failing to provide descriptive answers (for questions 14-16) •There are 16 questions. •You are not allowed to use calculators or any other electronic device. •After you have done, you can either use a scanner (if you have one) or use your phone to either take a picture or use a scanning app, send it to yourself (via email or google drive), if necessary convert to a pdf file and upload twice (Proctorio and then to the uploading link). Helpful Formulas: −𝑏±√𝑏2−4𝑎𝑐 Quadratic Formula: 𝑥 = 2𝑎 GOOD LUCK! ________________________________________________________________________________________________ 1. Evaluate the algebraic expression for the given value or values of the variable(s). – 5(x – y); x = 8 and y = 2 A) 26 2. B) -94 4. D) 22 Evaluate the expression or indicate that the root is not a real number. A) 64 3. C) 34 B) 14 C) D) 8 Find the product. ( 5 + 6x)( 5 – 6x) A) 25 – 60x – 36 B) 36 – 25 C) 25 – 36 D) 25 + 60x – 36 Multiply or divide as indicated. ÷ A) 5. B) y – 6 C) D) Write the number in decimal notation without the use of exponents. 2.87 × 104 A) 287,000 6. + i B) – i C) B) { -5 + 2i} – i D) C) { -5 + 2i, -5 – 2i} + i D) { -5 – 4i, -5 + 4i} Plot the given point in a rectangular coordinate system. ( 2, -3) (A) (B) C) 9. D) 28,700 Solve the equation using the quadratic formula. + 10x + 29 = 0 A) { -3, -7} 8. C) 114.8 Divide and express the result in standard form. A) 7. B) 2870 (D) Perform the indicated operations and write the result in standard form. √−64 + √−16 A) 12i B) 32i C) -12 D) -12i 10. First, write the value(s) that make the denominator(s) zero. Then solve the equation. = + 38 A) x ≠ 0, 2; B) No restrictions; { 2} C) x ≠ 0; 11. Find all values of x satisfying the given conditions. = 8x + 4( 4 + x), = 3(x – 6) + 10x, and A) { -10} B) { 10} C) { 34} D) x ≠ 0; { 4} = D) { -34} 12. Use the graph to determine the x- and y-intercepts. A) x-intercept: -3; y-intercepts: 1, 3 C) x-intercepts: -3, 1; y-intercept: 3 B) x-intercept: 1; y-intercept: 3 D) x-intercept: 3; y-intercepts: -3, 1 13. 20) The number of centimeters, d, that a spring is compressed from its natural, uncompressed position is given by the formula d = , where W is the number of joules of work done to move the spring and k is the spring constant. Solve this equation for W. Use the result to determine the work needed to move a spring 2 centimeters if it has a spring constant of 0.4. A) W = C) W = 2 ; 0.8 joules B) W = ; 20 joules k; 3.2 joules D) W = ; 0.2 joules 14. Solve the following quadratic equation using quadratic formula or by completing the square. 𝒚𝟐 + 𝟔𝒚 − 𝟏 = 𝟎 15. Solve the problem. You inherit $70,000 from a very wealthy grandparent, with the stipulation that for the first year, the money must be invested in two stocks paying 4% and 10% annual interest, respectively. How much should be invested at each rate if the total interest earned for the year is to be $4000? 16. Compute the discriminant. Then determine the number and type of solutions for the given equation. 3×2 + 2x = -1