Free Printable Review for Test Chapter 1

1.

Find the distance between the points.

a)

$\sqrt{5}$

b)

$\sqrt{10}$

c)

$\sqrt{85}$

d)

5

2.

Find the distance between the points.

P_1=\left(-1,\ 0\right);\ P_2=\left(2,\ 4\right)

a)

$\left|a\right|\sqrt{2}$

b)

$\sqrt{29}$

c)

$5\sqrt{5}$

d)

5

3.

Tell which quadrant or on what coordinate axis each point lies.

B=\left(6,\ 0\right)

a)

Quadrant I

b)

Quadrant II

c)

x-Axis

d)

y-Axis

4.

Find the midpoint of the line segment joining the points.
$P_1=\left(-2,\ 0\right),\ P_2=\left(2,\ 4\right)$

a)

$\left(0,\ 2\right)$

b)

$\left(3,\ -\frac{1}{2}\right)$

c)

$\left(-1,\ -\frac{1}{2}\right)$

d)

$\left(\frac{a}{2},\ \frac{a}{2}\right)$

5.

Determine which of the given points are on the graph of the equation.

(a)

6.

Determine which of the given points are on the graph of the equation.

(a)

7.

Find the intercepts of each equation.

(a)

8.

Find the intercepts of each equation.
$y=x^2-1$

(a)

9.

Find the slope of the line.

(a)

10.

Find the equation of the line L in slope intercept form.

a)

$y=\frac{1}{2}x$

b)

$x-2y=0$

c)

$x+2y=0$

d)

$y=-\frac{1}{2}x$

11.

Find the equation of the line L in slope intercept form.

a)

$x+y=2$

b)

$y=2x-3$

c)

$x-3y=-4$

d)

$y=\frac{1}{3}x+\frac{4}{3}$

12.

Find the equation of the line L in slope intercept form.

a)

$x+2y=5$

b)

$y=-\frac{1}{2}x+\frac{5}{2}$

c)

$2x+3y=-1$

d)

$y=-\frac{2}{3}x-\frac{1}{3}$

13.

Write the center and radius of each circle. Write the standard form of the equation.

a)

Center: $\left(1,\ 2\right)$ , Radius: 2; $\left(x-1\right)^2+\left(y-2\right)^2=4$

b)

Center: $\left(2,\ 1\right)$ , Radius: 2; $\left(x-2\right)^2+\left(y-1\right)^2=4$

c)

Center: $\left(\frac{5}{2},\ 2\right)$ , Radius: $\frac{3}{2}$ ; $\left(x-\frac{5}{2}\right)^2+\left(y-2\right)^2=\frac{9}{4}$

d)

Center: $\left(1,\ 2\right)$ , Radius: $\sqrt{2}$ ; $\left(x-1\right)^2+\left(y-2\right)^2=2$

14.

Find the center (h, k) and radius of each circle.

(a)

15.

FInd an equation of the y-axis.

(a)

16.

Write the standard form of the equationa and the general form of the equation of each circle with radius $r$ and center $\left(h,\ k\right)$ .

r=3;\ \left(h,\ k\right)=\left(0,\ 0\right)

a)

$x^2+y^2=9$
$x^2+y^2-9=0$

b)

$\left(x-4\right)^2+\left(y+3\right)^2=25$
$x^2+y^2-8x+6y=0$

c)

$\left(x-2\right)^2+\left(y+3\right)^2=16$
$x^2+y^2-4x+6y-3=0$

d)

$\left(x+2\right)^2+\left(y-1\right)^2=16$
$x^2+y^2+4x-2y-11=0$

Review for Test Chapter 1

Total questions: 16

Worksheet time: 1hrs 20mins

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