Free Printable 5.1& 5.2 Recap

1.

Write the equation for: m varies directly as n

a)

m = $k\ \times n$

b)

m = n

c)

k = $m\ \times\ n$

d)

m = $\frac{k}{n}$

2.

Write the equation for: q varies jointly as r and s

a)

$q=\ \frac{k}{r\times s}$

b)

$q\ =\ r\times s$

c)

$q\ =\ k\times r\times s$

d)

$k\ =\ q\times r\times s$

3.

Write the equation for: z varies inversely as w

a)

$z\ =\ k\times w$

b)

$z=\ \frac{k}{w}$

c)

$z\ =\ \frac{1}{kw}$

d)

$z\ =\ k\times w$

4.

Write the equation for: p varies directly as q and inversely as r

a)

$p\ =\ \frac{k\times q}{r}$

b)

$p\ =\ k\times q\times r$

c)

$p\ =\ \frac{k}{q\times r}$

d)

$p\ =\ k\times q$

5.

Inverse variation equations have a graph that is:

a)

Linear

b)

A parabola

c)

A hyperbola

d)

A trigonomentric function

6.

True or False: You can have a denominator of 0 in a fraction

a)

True

b)

False

7.

If you have a data set where the x and y values multiplied together are the same, then the data is.....

a)

Linear

b)

Exponential

c)

Direct

d)

Inverse

8.

If you have a data set where the y-values divided by the x-values are the same, then the data is.....

a)

Linear

b)

Exponential

c)

Direct

d)

Inverse

9.

Simplify: $\frac{4x^5y^8}{8x^3y^{10}}$

a)

$\frac{4x^2}{8y^2}$

b)

$\frac{x^2}{2y^2}$

c)

$\frac{x}{2y}$

10.

When is the equation undefined? $y\ =\ \frac{x-3}{x^2\ -\ 4}$

a)

$x\ne\ \pm2$

b)

$x\ne3$

c)

$x\ne2$

d)

$x\ne-2$

11.

Simplify: $\frac{\left(x\ +3\right)\left(x\ -\ 3\right)}{5\left(x\ +\ 7\right)}\times\frac{\left(x\ +\ 7\right)}{\left(x\ +\ 3\right)\left(x\ +\ 5\right)}$

a)

$\frac{\left(x\ +\ 3\right)\left(x-3\right)\left(x+7\right)}{5\left(x\ +7\right)\left(x+5\right)}$

b)

$\frac{x+4}{x+5}$

c)

$\frac{x\ -\ 3}{5\left(x\ +\ 5\right)}$

12.

$solve:\ \frac{x^2-36}{x+\ 6}=\ 10$

a)

-6

b)

6

c)

16

d)

No solution

13.

$Simplify:\ \frac{\left(x\ +\ 5\right)\left(x-7\right)}{9\left(x+\ 3\right)}\div\frac{\left(x-7\right)}{\left(x+\ 3\right)}$

a)

$\frac{x+\ 5}{9}$

b)

$\frac{\left(x+5\right)\left(x\ -\ 7\right)^2}{9\left(x+\ 3\right)^2}$

c)

1

d)

$\frac{x-7}{9\ \left(x\ +\ 3\right)}$

14.

Graphs of Direct Variation are:

a)

Linear

b)

Parabola

c)

Hyperbola

d)

Exponential Growth

5.1& 5.2 Recap

Total questions: 14

Worksheet time: 9mins

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