Solving Equations & Inequalities
Linear Functions & Slope
Systems of Equations
Exponents & Polynomials
Quadratics & Functions
100

Solve for x (3x - 7 = 14


x=7

100

Find the slope of the line given by the equation \(y = -3x + 1\)

  • Answer: \(-3\)
100

Question: Solve using substitution: \(x = 5y\) and \(2x + 3y = -13\)


  • Answer: \((-5, -1)\)
100

Simplify the exponential expression: \((3x^2)(4x^3)\)


  • Answer: \(12x^{5}\)
100

What is the maximum or minimum turning point on a parabola called?


the vertex

200

solve for y :2(y + 4) = 3y - 2

y=10


200
  • Find the slope of the line passing through \((5, -2)\) and \((2, -1)\)
    • Answer: \(-\frac{1}{3}\
  • Answer: \(-\frac{1}{3}\)
200

Solve using elimination: \(x + y = 6\) and \(x - y = 2\)


  • Answer: (4, 2)
200

Write this polynomial in standard form: \(4g - g^3 + 3g^2 - 2\)


  • Answer: (-g^3 + 3g^2 + 4g - 2)
200
  • Simplify the radical expression completely: \(\sqrt{48}\)

Answer: \(4\sqrt{3}\)

300

(-3g - 12 > -15)


g<1

300

Find the x-intercept and y-intercept of the line \(8x + 2y = -16\)


  • Answer: x-intercept is \((-2, 0)\) and y-intercept is \((0, -8)\)
300
  • Question: What number must you multiply the second equation by to eliminate \(y\)?
    \(3x+12y=21\)
    \(6x+4y=22\)


    • Answer: (-3)
300

Simplify by expanding and combining terms: \(3(2x + 4y) - 2(x - y)\)


  • Answer: (4x + 14y)
300

Describe the graph transformations for \(f(x) = \vert{}x - 5\vert{} + 2\) from \(f(x) = \vert{}x\vert{}\)


  • Answer: Shifted right 5 units and up 2 units
400

Solve for \(x\): \(\frac{x - 7}{3} = -12\)

x=-29

400

What is the slope of a line perpendicular to \(2x - 5y = 6\)?


  • Answer: \(-\frac{5}{2}\)
400

1 soda and 3 pizza slices cost $5.00. 3 sodas and 2 slices cost $8.00. Write the system of equations.

  • Answer: (s + 3p = 5) and (3s + 2p = 8)
400

Question: Multiply: \((2x - 3)(x + 4)\)


Answer: (2x^2 + 5x - 12)

400

Find the zeros of the quadratic equation: \(x^2 - 5x - 6 = 0\)


  • Answer: (x = 6) and \(x = -1)
500

Solve the absolute value equation: \(3\vert{}x + 2\vert{} - 7 = 14\)


x = 5 or x = -9

500
  • Write the slope-intercept equation of a line passing through \((2, 5)\) parallel to \(y = -\frac{1}{2}x - 7\)





    • Answer: \(y = -\frac{1}{2}x + 6\)
500

Student tickets cost $3. Adult tickets cost $5. 200 tickets total are sold, raising $856. How many adult tickets were sold?

  • Answer: (128) adult tickets
500

: Factor completely: (4x^2 - 25)


  • Answer: (2x - 5)(2x + 5)
500

A projectile is modeled by \(h = -16t^2 + 48t + 160\). What is its height at \(1.5\) seconds?


  • Answer: (196) feet
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