QA 152 · The Examination Desk — tests, typeset properly
Examination — Algebra I: The Grammar of the Unknown
SERIAL KS-QA152-—
Answers are marked only when you deliver the paper — no nudges mid-exam. Declare your confidence on each answer; a sure miss earns an errata slip worth reading twice. Pass mark: 80%. Nothing here punishes a retake.
Part the First — The Language of Algebra
1.The expression 6h gives the pay, in dollars, for h hours of work. Which statement reads 6h correctly?
2.A print shop charges a flat $5 for setup, plus $2 per poster. Which expression gives the cost, in dollars, of an order of p posters?
3.Evaluate 5(w − 2) + w when w = 8.
4.Compute 18 − 2 × 3².
5.Match each phrase to its translation.
Part the Second — Equations and Formulas
6.Solve for w: 12 = w + 5.
7.Solve 4x − 9 = 23.
8.Solve 5(x − 2) = 3x + 8.
9.The formula V = IR relates voltage, current, and resistance. Solved for R, it reads:
10.The angles of a triangle satisfy A + B + C = 180. Enter A in terms of B and C.
Part the Third — Lines, Functions, and the Plane
11.Which of these points lies in Quadrant IV?
12.A table holds the pairs (1, 3), (2, 3), and (3, 3). Is it a function?
13.Find the slope of the line through (2, 5) and (5, 14).
14.Draw the line y = x − 2 from x = 0 to x = 6.
15.A line has slope −3 and y-intercept 5. Enter y in terms of x.
16.g(x) = x² − 2x. Find g(5).
Part the Fourth — Systems, Powers, and Quadratics
17.The two lines of a system are drawn on the same axes, and they cross at (2, 7). What have you learned?
18.Solve the system 2x + 3y = 19 and 2x − 3y = 1. Give x.
19.Arrange the elimination solution of x + y = 11 and x − y = 3 in working order.
- Divide both sides by 2: x = 7
- Add the two equations: 2x = 14
- Check the pair in x − y = 3: 7 − 4 = 3
- Back-substitute x = 7 into x + y = 11: y = 4
20.Simplify (2x³)².
21.Write 10⁻² as a decimal.
22.Solve x² − 2x − 15 = 0. Give the larger solution.
23.x² − 4x − 21 factors as: