Master Algebra 1 Word Problems with our Comprehensive Practice

Where is the greatest integer function ${\displaystyle f\left(x\right)=\left[\left[x\right]\right]}$ not differentiable?
Find a formula for f’ and sketch its graph.

${\displaystyle f\left(x\right)=\frac{4\sqrt{x}}{6x^2+2x–y}}$
Evaluate ${\displaystyle f\left(x\right)atx=1}$.

Find x and y, if
${\displaystyle y=2x-5\text{and}{x}^2+y^2=5я}$

solve the linear equation
$3x-21+2x=17x-7-2x+6.$

Graph the following quadratic function ${\displaystyle f\left(x\right)=-4x^2}$

Define the linear and quadratic equations and solve the following quadratic equation by completing square method
${\displaystyle 6x^2+11x-35=0}$

Solve the following linear and quadratic systems of equations:
y + 3x = -2 or 3x +2 = y
y = ${\displaystyle x^2}$

A table for a function f is given to the right.
​(a) Determine whether function f represents exponential​ growth, exponential​ decay, or linear growth.
​(b) Find a formula for f.

(5,8), slope -2
Express in a function.

Solve the following equation:
25 + 2(n + 2) = 30

Classify whether the function is polynomial, power, rational, algebraic, trigonometric, or other.
a) ${\displaystyle f\left(x\right)=2x^3–3x^2+x-4}$
b) ${\displaystyle f\left(x\right)=\sqrt[3]{x^2}}$
c) ${\displaystyle g\left(x\right)=\frac{x}{x^2–4}}$
d) ${\displaystyle f\left(x\right)=3t^{-2}–2t^{-1}+4}$
e) ${\displaystyle h\left(x\right)=\frac{\sqrt{x}+1}{\sqrt{x}–1}}$
f) ${\displaystyle f\left(x\right)=\sin x+\cos x}$

Match the function with its name: ${\displaystyle f\left(x\right)=x^3}$
a) squaring function
b) square root function
c) cubic function
d) linear function
e) constant function
f) absolute value function
g) greatest integer function
h) reciprocal function
i) identity function

Solve the expression, please:
${\displaystyle \frac{\sqrt{4\times 7+2^3}}{3^2–5}}$

Degree 3. zeros: 3, 4 - i

${\displaystyle f\left(x\right)=-0.02x+11.9}$
What is the rate of change?

x+y=2x+2y=11
3x+3y=62x+4y=22
x+y=2x+2y=11
3x+3y=62x+4y=22
Two systems of equations are shown. Which TWO of the following statements each provide sufficient reasoning to show that the systems have the same solution?
The two equations in the second system are multiples of the two equations in the first system. A)
The two constant terms in the second system are multiples of the two equations in the first system. B)
The graphs of the equations in the first system coincide with the graphs of the equations in the second system. C)
The slopes of the graphs of the equations in the first system are equivalent to the slopes of the graphs of the equations in the second system. D)
The x -intercepts of the graphs of the equations in the first system coincide with the x -intercepts of the graphs of the equations in the second system. E)

Find x and y if:
x-2y+z+3
And
2x+y-z=-4

Solve the inequality:
${\displaystyle 3x^3-3x<4x^2-4}$

${\displaystyle (3x^2-5x)-(4-2x)}$
How many terms will the simplified ansequation wer have?

Solve:
${\displaystyle \frac{3k}{2}+\frac{9k-5}{6}=\frac{11k+8}{k}}$