Free Printable Revision UPS 1

1.

What type if number is $\sqrt{2}$ ?

a)

integer

b)

real number

c)

rational number

d)

irrational number

2.

Check all the numbers that are rational.

(choose more than one answer)

a)

4 $\pi$

b)

$\sqrt{36}$

c)

$-\frac{3}{8}$

d)

$0.153153153153...$

3.

Simplify $2\sqrt{27}+8\sqrt{3}+5\sqrt{8}$

a)

$24\sqrt{3}$

b)

$14\sqrt{3}+10\sqrt{2}$

c)

$24\sqrt{3}+5\sqrt{8}$

d)

$24\sqrt{3}-5\sqrt{8}$

4.

Simplify: (4pq³)² ÷ (2p²q)³

a)

2p^-4q³

b)

16p⁴q²

c)

8p⁴q³

d)

4p^-4q²

5.

Find the argument of $z\ =\ \frac{-\sqrt{3}}{2}+\frac{1}{2}i$

a)

$\frac{\pi}{6}$

b)

$\frac{5}{6}\pi$

c)

$-\frac{1}{6}\pi$

d)

$\frac{7}{6}\pi$

6.

Solve $7^{x^2}-49^{6-2x}=0$

a)

-6

b)

2

c)

-6 or 2

d)

none of the above

7.

Determine the values of x and y

a)

$x=\frac{9}{2},y=\frac{5}{2}$

b)

$x=\frac{5}{2},y=\frac{9}{2}$

c)

$x=7,\ y=3\sqrt{5}$

d)

$x=3\sqrt{5},y=7$

8.

Solve $\log\left(x-4\right)+2\log3=1+\log\left(\frac{x}{2}\right)$

a)

x = $\frac{72}{17}$

b)

x = 5

c)

x = 9

d)

x = 24

9.

Solve $2\left(2x-3\right)>3x\left(x-5\right)$

a)

$\left(-\infty,\frac{1}{3}\right)\cup\left(6,\infty\right)$

b)

$\left(\frac{1}{3},6\right)$

c)

$\left(-\infty,\frac{1}{3}\right)\cap\left(6,\infty\right)$

d)

none of the above

10.

$-x+4>2x+10$ Find the solution set of

a)

$\left\{x:x<-2\right\}$

b)

$\left\{x:x>-2\right\}$

c)

$\left\{x:x>2\right\}$

d)

$\left\{x:x<2\right\}$

11.

Solve $\frac{x+4}{x-1}\le6$

a)

none of these

b)

$\left(-\infty,1\right]\cup\left[2,\infty\right)$

c)

$\left(-\infty,1\right)\cup\left(2,\infty\right)$

d)

$\left(-\infty,1\right)\cup\left[2,\infty\right)$

12.

Solve $-7\le3-4x<6$

a)

$\left(-\frac{3}{4},\frac{5}{2}\right]$

b)

$\left(-\frac{3}{4},\frac{5}{2}\right)$

c)

$\left[-\frac{3}{4},\frac{5}{2}\right)$

d)

$\left[\frac{5}{2},-\frac{3}{4}\right)$

13.

Solve

a)

$\left(-4,3\right)$

b)

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

c)

$\left(-4,-2\right)\cup\left(2,3\right)$

d)

$\left(-\infty,\infty\right)$

14.

Which one is the single fraction of the following rational inequality $\frac{1}{2x-1}<\frac{1}{x+2}$

a)

$\frac{-x+3}{\left(2x-1\right)\left(x+2\right)}<0$

b)

$\frac{-x+1}{\left(2x-1\right)\left(x+2\right)}<0$

c)

$x>3$

d)

$\frac{3x+1}{\left(2x-1\right)\left(x+2\right)}<0$

15.

When do you "flip the inequalities sign"?

a)

When you add or subtract a negative

b)

When it's a 1-step problem

c)

When it's a 2-step problem

d)

When you multiply or divide a negative

16.

When do you use a closed circle on a graph for an inequality?

a)

When it is ≥ or ≤

b)

When it is > or <

c)

When the number in front of the variable is negative

d)

When it is only =

17.

Solve $\frac{x-6}{4}\le2$

a)

x ≤ 14

b)

x ≥ 14

c)

x < 14

d)

x = 14

18.

$-15,-11,-7,-3,\ ...$

Find an explicit rule for the nth term of the sequence.

a)

Tn= 15+(n-1)4

b)

Tn= -15+(n-1)3

c)

Tn= -15+(n-1)(-4)

d)

Tn= 4n -19

19.

Use the formula S_n to find the sum of the first five terms of the geometric sequence 2, -4, 8, -16, ...

a)

2/3

b)

18

c)

21

d)

22

20.

Find the sum of the arithmetic series using a formula. The first 42 terms of the series whose terms are T_n=10-5n

a)

-4090

b)

-4095

c)

-3890

d)

-3895

21.

The geometric series of the form

a)

a , ar , ar²,....

b)

a + ar + ar²,....

c)

a , a+d ,a+2d,......

d)

a + a+d + a+2d,......

22.

Select the correct expansion of (1 + 4x)³

a)

1 + 12x + 12x² + 4x³

b)

1 + 3x + 3x² + x³

c)

1 + 4x + 16x² + 64x³

d)

1 + 12x + 48x² + 64x³

23.

What is the third term for the expansion (2x-5)⁵?

a)

2000x³

b)

5000x²

c)

500x³

d)

800x³

Revision UPS 1

Total questions: 23

Worksheet time: 23mins

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