Prepare for your Algebra 1 midterm exam with these practice questions and answers. This guide covers first semester topics including equations, inequalities, and linear functions.
Q: Evaluate the expression.11 + 8 x 3^ – 8
Answer: 11 + 8 x 3^ – 811 + 8 x 9 – 811 + 72 – 883 – 875
Q: Evaluate the expression.2/3 ((5 + 2)^ – 13)
Answer: 2/3 ((5 + 2)^ – 13)2/3 (7^ – 13)2/3 (49 – 13)2/3 (36)24
Q: Evaluate the expression.5k^ – 7k when k=3
Answer: 5(3^) – 7(3)5(9) – 7(3)45 – 2124
Q: Check whether the given number is a solution of the equation or inequality.7x-11=17;4
Answer: 7(4)-11=1728-11=1717=17yes
Q: Check whether the given number is a solution of the equation or inequality.9y + 3 < 13; 2
Answer: 9(2) + 3 < 1318 + 3 < 1321 < 13no
Q: Check whether the given number is a solution of the equation or inequality.5z – 9 >= 7z – 11; -2
Answer: 5(2) – 9 >= 7(5) – 1110 – 9 >= 35 – 111 >= 24no
Q: Solve. 5 + (-13)
Answer: 5 – 13-8
Q: Solve. -17 + (-21)
Answer: -17 – 21-38
Q: Solve. 15 – (-12)
Answer: 15 + 1227
Q: -7(-11)
Answer: 77
Q: -1/2(15)(-8)
Answer: -15/2(-8)60
Q: 72/-6
Answer: -12
Q: Find the square root of 169.
Answer: 13
Q: Find the negative square root of 9.
Answer: -3
Q: Find the positive and negative square roots of 256.
Answer: 16 and -16
Q: Find the positive and negative square roots of 0.04.
Answer: 0.2 and -0.2.
Q: Solve, if possible. x + 7 = 19.
Answer: x + 7 = 19- 7 – 7x = 12
Q: Solve, if possible. 23 – y = 14
Answer: 23 – y = 14-23 -23-y = -9y = 9
Q: Solve, if possible. 7p – 11 = 10
Answer: 7p – 11 = 10+11 +117p = 21p = 3
Q: Solve, if possible. q/4 + 8 = 13
Answer: q/4 + 8 = 13-8 -8q/4(4) = 5(4)q = 20
Q: Solve, if possible. 15j + 7 j = 11
Answer: 22j/22 = 11/22j = 1/2
Q: Solve, if possible. 14m + 7 – 8m = -17
Answer: 14m – 8m + 7 = -176m +7 = -17-7 -76m/6 = -24/6m = -4
Q: Solve, if possible. -3.1t + 4.3 = -1.9t + 3.7
Answer: -3.1t + 4.3 = -1.9t + 3.7-4.3 -4.3-3.1t = -1.9t – 0.6+1.9t +1.9t-1.2t/-1.2 = -0.6/-1.2t = 1/2
Q: Solve, if possible. 3(4k – 2) = 16k -32
Answer: 12k -6 = 16k -32+6 +612k = 16k – 26-16k -16k-4k/-4= -26/-4k = 13/2
Q: Solve, if possible. 1/3(9g – 6) = 3/5(5g + 15)
Answer: 3g – 2 = 3g + 93g = 3g + 11no solution/not possible
Q: A student can read 4 pages in 5 minutes. How many pages can the student read in 60 minutes.
Answer: 4/5 = 60/x CROSS MULTIPLY300/4 = 4x/4x = 7575 pages
Q: What precent of 38 is 15.2?
Answer: 38p/38 = 15.2/38p = .440%
Q: What number is 35% of 150.
Answer: 150(.35) = nn = 52.552.5
Q: At your school, 74% of students bought their lunch at the cafeteria. There are 1250 students in the school. How many students bought their lunch.
Answer: 1250(.74) = bb = 925925 students
Q: Solve ax + by = c for a.
Answer: ax+by=cax=-by+ca=(-by+c)/x
Q: Solve ax – y/b =c for y
Answer: ax-y/b=c-y/b=-ax+c-y=-abx+bcy=abx-bc
Q: Plot point A(3, 6) on a coordinate plane and describe its location on the graph.
Answer: (3, 6) is in Quadrant I.
Q: Plot point B(-2, -4) on a coordinate plane and describe its location on the graph.
Answer: (-2, -4) is in Quadrant III.
Q: Plot point C(0, -3) on a coordinate plane and describe its location on the graph.
Answer: (0, -3) is on the x-axis.
Q: Find the slope of the line that passes through the points (4, 8) and (5, 13).
Answer: (13-8)/(5-4)5/1The slope is 5.
Q: Find the slope of the line that passes through the points (-3, 6) and (2, 7).
Answer: (7-6)/(2–3)1/5The slope is 1/5.
Q: Find the slope of the line that passes through the points (-8, -2) and (-5, -2).
Answer: (-2–2)/(-5–8)0/3The slope is undefined.
Q: Graph y-2x=-3.
Answer: y-2x=-3y = 2x + 3Possible points: (0, 3), (1, 5), (2, 7), (-1, 1), (-2, -1)
Q: Graph x = -4.
Answer: Possible points: (-4, -2), (-4, -1), (-4, 0), (-4, 1), (-4, 2)
Q: Graph y = 3/5x +3.
Answer: Possible points: (-10, -6), (-5, 0), (0, 3), (5, 6), (10, 9)
Q: Evaluate f(x) = -1/2x + 3 when x = -2.
Answer: f(-2) = -1/2(-2) + 3f(-2) = 1 + 3f(-2) = 4
Q: Evaluate g(x) = 8x – 7 when x = 0.5.
Answer: g(0.5) = 8(0.5) – 7g(0.5) = 4-7g(0.5) = -3
Q: The amount of water w (in thousands of gallons) flowing over a dams spillway varies directly with time t (in hours). In four hours, six thousand gallons of water flow over the spillway. Write a direct variation equation that related w and t. How many gallons of water will be released in twelve hours?
Answer: w = at6 = 4a3/2 = aw = 3/2(12)w = 18w = 3/2t; 18 thousand gallons
Q: Write an equation in slope-intercept form that passes through the point (-1, 3) and has a slope of 2.
Answer: 3 = 2(-1) + b3 = -2 + b5 = by = 2x + 5
Q: Write an equation in slope-intercept form that passes through the point (4, -3) and has a slope of 3/4.
Answer: -3 = 3/4(4) +b-3 = 3 + b-6 = by = 3/4x – 6
Q: Write an equation in slope-intercept form that passes through the point (2, -7) and has a slope of -5.
Answer: -7 = -5(2) +b-7 = -10 + b3 = by = -5x + 3
Q: Write an equation in standard form of the line that passes through the point (3, -7) and has a slope of -7.
Answer: y + 7 = -7(x – 3)y + 7 = -7x + 21y = -7x + 147x + y = 14
Q: Make a scatter plot using the points (0, 7), (2, 16), (4, 25), (6, 38), and (8, 50). Describe the correlation of the data.
Answer: …
Q: Solve and graph x – 13 < -8
Answer: x – 13 < -8x < 5