Free Printable HONALG2 FIRST SEMESTER REVIEW

1.

Write the equation for the absolute value function.

a)

$y=\left|x-3\right|-4$

b)

$y=\left|x+3\right|-4$

c)

$y=\left|x+3\right|+4$

d)

$y=\left|x-3\right|+4$

2.

Select the equation that represents the graph

a)

y + 8 = 2(x + 2)

b)

y - 4 = 2x - 2

c)

y = -2x + 4

d)

-10x + 5y = 20

3.

Write the equation of the line that goes through (-9, -7) and (9, 7)

a)

$y+7=\frac{9}{7}\left(x+9\right)$

b)

$y+7=\frac{7}{9}\left(x+9\right)$

c)

$y-7=\frac{9}{7}\left(x-9\right)$

d)

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

4.

Find the x and y intercepts

-4x - 7y = -84

a)

(21, 0) and (0, 12)

b)

(0, -4) and (-7, 0)

c)

(0, 12) and (-4/7, 0)

d)

(-4, 0) and (0, -7)

5.

Which is a solution to the absolute value inequality?

$f\left(x\right)\le-2\left|x-4\right|+3$

a)

(2, 0)

b)

(2, -2)

c)

(6, 0)

d)

(1, -1)

6.

Find the linear regression equation for the positive correlation.

a)

y = 1.68x + 68.92

b)

y = 1.92x + 67.41

c)

y = 1.89x + 64.85

d)

y = 1.77x + 61.32

7.

What is the range of the absolute value function?

a)

$-\infty\le y\le3$

b)

$-2\le y\le\infty$

c)

$3\le y\le\infty$

d)

$\infty\le y\le-2$

8.

Solve the system using any method:

option 1: graphing (recommended)

option 2: matrices

option 3: algebraically

a)

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

b)

$\left(1,\frac{3}{4}\right)$

c)

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

d)

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

9.

Solve the system using matrices to find the value of z

a)

z = 1

b)

z = 3

c)

z = 2

d)

z = 5

10.

Solve the system algebraically to find the value of y

40x - 3z = 8

8x + 5y + 7z = 67

-10x = -5

a)

y=4

b)

y=9

c)

y=6

d)

y=7

11.

You are in charge of the staff party. Your boss gives you a budget of $1000 to get everyone plaid pajamas which cost $72 or reindeer slippers which cost $10 .

You must buy 69 gifts. How many of each will use up every dollar?

a)

72p + 10s = 1000

ps = 69

b)

72p + 10s = 1000

p + s = 69

c)

72p + 10s = 69

ps = 1000

d)

72p + 10s = 69

p + s = 1000

12.

The cost of 120 hot chocolates and 85 candy canes is $38.50. The cost of 3 bags of marshallows and 75 candy canes is $12. The cost of 120 hot chocolates 120 candy canes and 3 bags of marshmallows is $46.50.

Find the cost of a candy cane algebraically or with matrices.

a)

candy canes = 0.05

b)

candy canes = 0.15

c)

candy canes = 0.10

13.

Which ordered pair is a solution to the system of inequalities?

$2x+y>2$ and $-x+2y<-2$

a)

(1, -1)

b)

(0, 0)

c)

(3, 0)

d)

(3, 1)

14.

Given the following constraints find the corners of the feasible region.

$x>0$

$y>0$

$20x+10y<100$

$10x+10y<60$

a)

(0,0)

(4,2)

(6,0)

(0,10)

b)

(0,0)

(4,2)

(5,0)

(0,6)

c)

(0,0)

(4,2)

(5,0)

(0,10)

d)

(0,0)

(4,2)

(6,0)

(0,6)

15.

Use the formula to find the area of a triangle whose vertices are (0,0) (3,9) (6,3)

$a=\frac{1}{2}\det\left[A\right]$

a)

22.5

b)

33.7

c)

28.7

d)

35.5

16.

Find the determinant of the matrix by hand or by calculator.

a)

10

b)

14

c)

16

d)

12

17.

Solve for x:

x + 5A = B

a)

-28 -16

-16 -20

b)

22 24

24 10

c)

28 16

16 20

d)

-22 -24

-24 -10

18.

matrix A times matrix B = matrix B times matrix A

a)

true

b)

false

19.

5A - 3B =

a)

-8 9

9 -15

b)

30 10

10 22

c)

34 8

8 30

d)

3 -4

-4 5

20.

which expression is equivalent to $\left(x^2\right)^6$

a)

$\left(x^4\right)^{-3}$

b)

$\left(x^4\right)\left(x^3\right)$

c)

$\frac{x^{36}}{x^3}$

d)

$\left(x^{10}\right)\left(x^2\right)$

21.

The dimensions of the coefficient matrix

would be 3x2

a)

true

b)

false

22.

Find the determinant of matrix A.

a)

-1

b)

0

c)

1

23.

The domain of a quadratic function is always "all real numbers"

a)

true

b)

false

24.

The x-intercept of f(x) = 4x - 20 is 5

a)

true

b)

false

25.

What is the maximum value of the objective function, given the feasible region.

objective function: profit = 9x + 7y

a)

41

b)

58

c)

60

26.

if A is the coefficient matrix and B is the constant matrix

how would we solve the matrix equation?

a)

$A^{-1}\cdot B$

b)

$A^{ }\cdot B^{-1}$

c)

$A^{-1}\cdot B^{-1}$

d)

$A\cdot B$

27.

buddy the elf throws a snowball. the equation that gives the height (h) of the ball at any time (t) is:

h(t)= -16t² + 40ft + 1.5 when will the snowball reach its max height

a)

1.35 seconds

b)

1.3 seconds

c)

1.5 seconds

d)

1.25 seconds

28.

buddy the elf throws a snowball. the equation that gives the height (h) of the ball at any time (t) is:

h(t)= -16t² + 40ft + 1.5 what is the snowball's max height

a)

26 feet

b)

26.5 ft

c)

27 feet

d)

25.5 feet

29.

buddy the elf throws a snowball. the equation that gives the height (h) of the ball at any time (t) is:

h(t)= -16t² + 40ft + 1.5 what is the y-intercept

a)

-16

b)

40

c)

1.5

d)

3

30.

change to standard form

$y\ =\ \left(x\ -\ 5\right)^2+11$

a)

$y=x^2+36$

b)

$y=x^2-14$

c)

$y=x^2-10x+36$

d)

$y=x^2-10x+25$

31.

find the vertex

$y\ =\ \left(x\ -\ 5\right)^2+11$

a)

$\left(5,11\right)$

b)

$\left(-5,11\right)$

c)

$\left(-5,-11\right)$

d)

$\left(5,-11\right)$

32.

change to vertex form

$y\ =\ 2x^2-20x+53\$

a)

$y=\left(x-20\right)^2+53$

b)

$y=2\left(x-20\right)^2+53$

c)

$y=2\left(x-5\right)^2+3$

d)

$y=\left(x-5\right)^2+3$

33.

find the axis of symmetry
$y\ =\ 2x^2-20x+53\$

a)

x = 5

b)

x = 20

c)

x = 2

d)

x = 4

34.

the solutions to a quadratic equation are x = 5 and x = 3

write the equation in factored form

a)

y = (x - 5)(x - 3)

b)

y = (x + 5)(x + 3)

c)

y = (x - 5)(x + 3)

d)

y = (x + 5)(x - 3)

35.

a quadratic equation has a vertex at (1, 2) and a point at (4, 0)

what do we need to do before we can we use the regression feature on our calculator to write an equation

a)

hit stat enter

b)

hit stat calc 5

c)

find a 3rd point

d)

find the slope

36.

a quadratic equation has a vertex at (1, 2) and a point at (3, 0)

find a third point

a)

(-1, 0)

b)

(-4, 0)

c)

(5, 2)

37.

a quadratic equation has a vertex at (1, 2) and a point at (3, 0)

does it have a min or max

a)

min

b)

max

c)

neither

38.

a quadratic equation has a vertex at (1, 2) and a point at (3, 0)

which equation is correct

a)

$y=2\left(x-1\right)^2+2$

b)

$y=-2\left(x-1\right)^2+2$

c)

$y=-\frac{1}{2}\left(x-1\right)^2+2$

d)

$y=\frac{1}{2}\left(x-1\right)^2+2$

39.

what buttons do we hit to get back to a standard window on our TI84

a)

zoom 6

b)

2nd trace 5

c)

zoom 3 enter

d)

stat calc 5

40.

what buttons do we hit to find the intersection of two lines

a)

zoom 6

b)

2nd trace 5

c)

zoom 3 enter

d)

stat calc 5

41.

what buttons do we hit to enter data points (ordered pairs) in our TI84

a)

2nd graph

b)

math enter enter

c)

stat calc

d)

stat enter

42.

$i^2$

a)

i

b)

1

c)

-1

d)

-i

43.

$i^4$

a)

i

b)

1

c)

-1

d)

-i

44.

$7i\left(5i\right)$

a)

35

b)

35i

c)

-35

d)

-35i

45.

which expression is equivalent to

$\frac{2\pm\ \sqrt[]{18}}{2}$

a)

$\frac{2\pm3\ \sqrt[]{2}}{2}$

b)

$\frac{2\pm9\ \sqrt[]{2}}{2}$

c)

$1\pm3\ \sqrt[]{2}$

d)

$1\pm\ 9\ \sqrt[]{2}$

46.

$y=\frac{3}{7}\left(x+7\right)^2$

find the y-intercept

a)

(0, 3)

b)

(0, 21)

c)

(0, 14)

d)

(0, 7)

47.

complete the square

$b^2+10b\ +?$

a)

100

b)

20

c)

50

d)

25

48.

a)

cindy lou

b)

jovie

c)

jenny

d)

susie

49.

what is the kid's name

a)

cayden

b)

dylan

c)

michael

d)

david

50.

which is NOT a food group for elves

a)

candy

b)

candy canes

c)

chocolate

d)

candy corn

e)

syrup

51.

cotton headed ninny ?

a)

stuffins

b)

head

c)

elf

d)

muggins

52.

you dont smell like santa, you smell like

a)

soup and salad

b)

beef and cheese

c)

who hash

d)

cinnamon

53.

Solve 2x² + 7x - 15 = 0

a)

$-\frac{3}{2}and\ 5$

b)

$-\frac{7}{10}and\ 5$

c)

$\frac{3}{2\ }and\ -5$

d)

$\frac{7}{10}and\ 5$

54.

which is a factor of $3x^2+19x+30$

a)

(x + 5)

b)

(x + 10)

c)

(3x + 5)

d)

(3x + 10)

55.

which is a factor of $4v^2-7v$

a)

(4v - 7)

b)

(v - 7)

c)

(4 - 7v)

d)

4v

56.

simplify $\sqrt[]{-180}$

a)

$6\ \sqrt[]{-5}$

b)

$-6\ \sqrt[]{5}$

c)

$6i\ \sqrt[]{5}$

d)

$-6i\ \sqrt[]{5}$

57.

solve $5\left(x-1\right)^2-45=0$

step 1 add 45 to both sides

step 2 square root both sides

step 3 divide both sides by 5

step 4 add 1 to both sides

where does the mistake occur?

a)

step 2

b)

step 1

c)

there is no mistake

d)

step 3

e)

step 4

58.

$\sqrt[3]{\frac{8}{27}}$

a)

2/3

b)

4/9

c)

4/3

d)

2/9

59.

$\frac{x^4+5x^3-27x^2+x+30}{x-3}$ what is the remainder

(hint: dmama)

a)

6

b)

7

c)

8

d)

9

60.

end behavior of $y\ =\ -7x^5$

(hint: we always look at graphs from left to right)

a)

up up

b)

down down

c)

up down

d)

down up

61.

can a polynomial of degree 4 have 1 real solution and 3 imaginary

a)

yes

b)

no

62.

can a polynomial of degree 4 have 2 real solutions and 2 imaginary

a)

yes

b)

no

63.

can a polynomial of degree 3 have 1 real solution and 2 imaginary

a)

yes

b)

no

64.

can a polynomial of degree 3 have 2 real solutions and 1 imaginary

a)

yes

b)

no

65.

which is a factor of $8w^3+27$

a)

it's prime

b)

(8w+3)

c)

(4w+13.5)

d)

(2w+27)

e)

(2w+3)

HONALG2 FIRST SEMESTER REVIEW

Total questions: 65

Worksheet time: 33mins

Similar Resources on Wayground