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Questions and Answers of College Algebra

Solve each inequality, and graph the solution set. 5 t-4 < 1
Solve each system of equations. x + y + 2z = 3 -x + y + z = -5 2 2x + 3y 2 = -8
Solve each inequality. (4-3x)² = -2
Use the quadratic formula to solve each equation. -2t (t + 2) = -3
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = x² + 10x + 23
Bahaa paddled a canoe 20 mi upstream, then paddled back. If the rate of the current was 3 mph and the total trip took 7 hr, what was Bahaa’s rate?
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = - = -1² 3
Solve each quadratic equation by the method of your choice.r2 - 72 = 0
Solve each equation for the specified variable. (Leave ± in the answers.) S = vt +- 1 2 gt² for t
Solve each inequality. (7-6x)² ≥-1
A boat travels 20 mph in still water, and the rate of the current is t mph.(a) What is the rate of the boat when it travels upstream?(b) What is the rate of the boat when it travels downstream?
Carol Ann drove 8 mi to pick up a friend, and then drove 11 mi to a mall at a rate 15 mph faster. If Carol Ann’s total travel time was 24 min, what was her rate on the trip to pick up her friend?
Solve each quadratic equation by the method of your choice.-3x2 + 4x = -4
The two top-grossing films of 2017 were Star Wars: The Last Jedi and Beauty and the Beast. The two films together grossed $1049 million. Beauty and the Beast grossed $41 million less than Star Wars:
It takes m hours to grade a set of papers.(a) What is the grader’s rate (in job per hour)?(b) How much of the job will the grader do in 2 hr?
Use the quadratic formula to solve each equation. -3x(x + 2) = -4
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = x² + 4x + 3
Solve each inequality. (3x + 5)² = -4
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = x² - 1
In 4 hr, Kerrie can travel 15 mi upriver and come back. The rate of the current is 5 mph. Find the rate of her boat in still water.Let x = ___________.The rate traveling upriver (against the current)
Write with positive exponents only. Assume that variables represent positive real numbers. (x-³y2 (x³y-2) -1
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = x² + 2x - 2
Solve each equation for the specified variable. (Leave ± in the answers.) 1 LI2+ RI+- C = 0 for I
Zoran can process a stack of invoices 1 hr faster than Claude can. Working together, they take 1.5 hr. How long would the job take each person working alone? Zoran Claude Rate Time
Use the quadratic formula to solve each equation. (r-3) (r + 5) = 2
Solve each inequality. (8x + 5)² = -5
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = x² + 3
Solve each problem. Round answers to the nearest tenth, as necessary.1An old machine processes a batch of checks in 1 hr more time than a new one. How long would it take the old machine to process a
Solve each quadratic equation by the method of your choice.x2 - 5x - 36 = 0
Solve each equation for the specified variable. (Leave ± in the answers.) PEIRI2 for I
Write with positive exponents only. Assume that variables represent positive real numbers. (4x-2)²(2y³) 8x-3y5
Use the quadratic formula to solve each equation. (x + 1)(x-7)= 1
Solve each quadratic equation by the method of your choice.w2 = 169
Find the slope and intercepts of the line with equation -2x + 7y = 16.
Use the quadratic formula to solve each equation.4r2 - 4r - 19 = 0
For each quadratic function, tell whether the graph opens up or down and whether the graph is wider, narrower, or the same shape as the graph of ƒ(x) = x2. f(x) = 4(x + 2)² +5 -
Solve each equation. Check the solutions. 6 P = 2 + P P+1
Solve each inequality, and graph the solution set. 3x²5x ≤ 0
Solve each quadratic equation by the method of your choice.z2 + z + 1 = 0
Match each equation with its graph in choices A–F. A. D. B. E. C. F. X
Graph each parabola. Identify the vertex, axis of symmetry, domain, and range. f(x) = x² + 4x − 1
Write an equation for the specified line. Express each equation in slope-intercept form.Passing through (2, -3) and parallel to the line with equation 5x + 2y = 6
Match each equation with its graph in choices A–F. A. D. B. E. C. F. X
Solve each equation. Check the solutions. -2r= 48 - 20r 2
For each quadratic function, tell whether the graph opens up or down and whether the graph is wider, narrower, or the same shape as the graph of ƒ(x) = x2. 1 f(x) = - = -√(x + 3 (x + 6)² + 3
Graph each parabola. Identify the vertex, axis of symmetry, domain, and range. X x= -(y-2)² + 2
Use the quadratic formula to solve each equation. 2 - 2x = 3x2
Solve each equation. Check the solutions. 2 X + 2-x X = = 5
Solve each quadratic equation by the method of your choice.5x6 + 2x3 - 7 = 0
Solve each formula for the specified variable. (Leave ± in the answers as needed.) P = kl 00 g for g
Match each equation with its graph in choices A–F. A. D. B. E. C. F. X
Solve each inequality, and graph the solution set. 2z² + 3z > 0
Solve each equation. Check the solutions. 8(3x + 5)² + 2(3x + 5) - 1 = 0
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = 3x²
Write an equation for the specified line. Express each equation in slope-intercept form.Passing through (-4, 1) and perpendicular to the line with equation 5x + 2y = 6
Use the quadratic formula to solve each equation. 26r - 2 = 3r2
Solve each quadratic equation by the method of your choice.4t2 - 12t + 9 = 0
Houston Community College is planning to construct a rectangular parking lot on land bordered on one side by a highway. The plan is to use 640 ft of fencing to fence off the other three sides. What
Solve each formula for the specified variable. (Leave ± in the answers as needed.) P = kl 00 g for l
Carlos can complete a certain lab test in 2 hr less time than Jaime can. If they can finish the job together in 2 hr, how long would it take each of them working alone?Let x = Jaime’s time alone
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = 2x² + 4x − 5
Solve each formula for the specified variable. (Leave ± in the answers as needed.) k = rF wy² for v
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = x² + 2
Solve each inequality. (2x + 5)²
Find the lengths of the sides of the triangle. X x + 4 x + 1
Use the quadratic formula to solve each equation. (x + 2)(x − 3) = 1
Solve each quadratic equation by the method of your choice.3p2 = 6p - 4
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = 3x² + 12x - 8
Perform the indicated operations. 2 ( ²71 +9) ² 3
On a windy day William found that he could travel 16 mi downstream and then 4 mi back upstream at top speed in a total of 48 min. What was the top speed of William’s boat if the rate of the current
Solve each formula for the specified variable. (Leave ± in the answers as needed.) P = yz 6 for y
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = x² - 2
Use the quadratic formula to solve each equation. (x - 5)(x+2) = 6
Solve each quadratic equation by the method of your choice. 2 = 5z + 3 2
Solve each inequality. (3x-7)²
Find the lengths of the sides of the triangle. 5m 2m + 3 2m
The distance from Jackson to Lodi is about 40 mi, as is the distance from Lodi to Manteca. Adrian drove from Jackson to Lodi, stopped in Lodi for a high energy drink, and then drove on to Manteca at
Vera flew for 6 hr at a constant rate. She traveled 810 mi with the wind, then turned around and traveled 720 mi against the wind. The wind speed was a constant 15 mph. Find the rate of the plane.
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = (x-4)²
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = -3x² - 6x + 2
Two ships leave port at the same time, one heading due south and the other heading due east. Several hours later, they are 170 mi apart. If the ship traveling south traveled 70 mi farther than the
Solve each quadratic equation by the method of your choice. 4 r +3= 1 r
Medicine Hat and Cranbrook are 300 km apart. Steve rides his Harley 20 km per hr faster than Mohammad rides his Yamaha. Find Steve’s average rate if he travels from Cranbrook to Medicine Hat in 1
Solve each inequality. (5x − 1)2 = 0 20
Use the quadratic formula to solve each equation. P || 5(5 - p) 3(p+1)
Deborah is flying a kite that is 30 ft farther above her hand than its horizontal distance from her. The string from her hand to the kite is 150 ft long. How high is the kite? X 1 | | | 2. 30 + x
Perform the indicated operations.Divide 4x3 + 2x2 - x + 26 by x + 2.
A large machine requires a part in the shape of a right triangle with a hypotenuse 9 ft less than twice the length of the longer leg. The shorter leg must be 3/4 the length of the longer leg. Find
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = (x + 1)²
Solve each formula for the specified variable. (Leave ± in the answers as needed.)mt2 = 3mt + 6 for t
Solve each inequality. (4x + 1)² ≥ 0
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = 2x² + 12x - 13
Use the quadratic formula to solve each equation. X = 2(x + 3) x + 5
Solve each quadratic equation by the method of your choice. 2(3x − 1)² + 5(3x - 1) = -2 -
A square has an area of 256 cm2. If the same amount is removed from one dimension and added to the other, the resulting rectangle has an area 16 cm2 less. Find the dimensions of the rectangle. X X
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = (x + 2)² - 1
Working together, two people can cut a large lawn in 2 hr. One person can do the job alone in 1 hr less time than the other. How long would it take the faster worker to do the job? (Let x represent
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. x = (y + 2)² + 1
Solve each inequality, and graph the solution set. (x - 1)(x-2)(x-4)
Factor completely. 24m2 + 2m - 15

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